What is the degree of polynomial?
With example!​

Answers

Answer 1

Answer:

[tex]\boxed{\mathfrak{Question ~}}[/tex]

What is the degree of polynomial?

[tex]\large\boxed{\mathfrak{Answer}}[/tex]

The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients.

Example:

[tex] {6x}^{4} + {2x}^{3} + 3[/tex]

4x The Degree is 1 (a variable without an

exponent actually has an exponent of 1)

More Examples:

4x^ − x + 3 The Degree is 3 (largest exponent of x)

x^2 + 2x^5 − x The Degree is 5 (largest exponent of x)

z^2 − z + 3 The Degree is 2 (largest exponent of z)

A constant polynomials (P(x) = c) has no variables. Since there is no exponent to a variable, therefore the degree is 0.

3 is a polynomial of degree 0.

Answer 2

Answer:

The degree of a monomial is the sum of the exponents of all its variables.

Example 1:

The degree of the monomial [tex]7y {}^{3} {z}^{2} [/tex] is 5(=3+2)5(=3+2) .

Example 2:

The degree of the monomial 7x is 11 (since the power of x is 11 ).

Example 3:

The degree of the monomial 66 is 0 (constants have degree 0 ).

The degree of a polynomial is the greatest of the degrees of its terms (after it has been simplified.)


Related Questions

Ben worked 5 hours at x dollars per hour. Julie worked 8 hours
and earned twice as much as Ben per hour. Phil worked 10
hours and earned 4 dollars an hour less than Julie. Choose the
expression that is correctly simplified and best represents
their total wages.
A. 31x - 4
B. 31x – 40
C. 41x - 10
D. 41x -40

Answers

Answer: D

Explanation:

Ben : 5 • x = 5x
Julie: 8 • 2x = 16x
Phil: 10 • (2x - 4) = 20x - 40

Add them all together:

5x + 16x + 20x - 40
= 41x - 40

41)533
What is 533 divided by 41 using Partial Quotients?

Answers

Answer:

13

Step-by-step explanation:

533÷41=13 just use a calculator

I NEED ANSWER ASAPPPP

Answers

boy-7/12

girl-5/12...................

Jett leaves for the airport at 3:20 p.m. The airport is a 35-minute drive from his house. What time does he reach the airport?

Answers

Answer:

3:55

Step-by-step explanation:

add 35 to 20 then put the hour =

3:55

how do you write the equation of the line that passes through the points (-9,4) and (7,-2)

Answers

Answer:

y = -3/8x+5/8.

Step-by-step explanation:

First, we'll find the slope. This is (y_2-y_1)/(x_2-x_1). So, we do -2 - 4 / 7 --9. This goes to -6/16. Simplifying gets us -3/8. Now, we have y= -3/8x + b. We can solve for b by plugging in points. Using the first point, it goes to 4 = 27/8+b, we can solve for b now, getting us 5/8. So, the complete equation is y = -3/8x+5/8.

Answer:

y = (-3/8)x + 5/8

Step-by-step explanation:

First we need to find the slope of the line connecting these two points.  Slope is represented by m and is equal to rise/run.

Going from the first point to the second, we see x increasing by 16 (this is the run) and y decreasing by 6 (this is the rise).  Thus, the slope of this line is

m = rise/run= -6/16, or -3/8.

Adapt the slope-intercept formula y = mx + b to this situation.  From the point (-9, 4) we get x = -9 and y = 4, and m = -3/8.  Then we have:

4 = (-3/8)(-9) + b, from which we get the y-intercept, b:

4 = 27/8 + b, or 32 = 27 + 8b, or 8b = 5, so that b = 5/8.

The equation describing this situation is y = (-3/8)x + 5/8.

Given the point and the slope, write the function in point-slope form:

(2,−5);m=23

Group of answer choices
y−5=23(x−2)
y+5=23(x−2)
y−5=23(x+2)
y+5=23(x+2)

Answers

Answer:

2nd answer choice

Step-by-step explanation:

point slope form: y-y1=m(x-x1)

y-(-5)=23(x-2)

y+5=23(x-2)

Answer:

  (b)  y+5=23(x−2)

Step-by-step explanation:

The point-slope form for the equation of a line is ...

  y -k = m(x -h) . . . . . . point (h, k), slope m

You have point (2, -5) and m=23, so the equation becomes ...

  y -(-5) = 23(x -2)

  y +5 = 23(x -2) . . . . . . simplify a bit

Six less than a number is twenty

Answers

Answer:

the start numbew woould be 26

Step-by-step explanation:

6 less than 26 is 20

Answer:

n=26

Step-by-step explanation:

I AM BEGGING YALL TO HELP ME BRAINLYEST

Answers

Answer:

56

Step-by-step explanation:

PEMDAS

4+372-320

376-320

56

Follow PEMDAS
4 + 372 - 320
376 - 320
56

solve similar triangles (advanced)

Answers

Step-by-step explanation:

since m<CBA = m<EDA = 90

, < A is a common angle

then : triangle EDA is similar to triangle CBA

then : 11/3+X = 2/3

33=6+2X

27=2X

X=13.5

Explain how to calculate 32% of 150

Answers

Answer:

32% of 150 is 48.

Step-by-step explanation:

32% of 150=> 150 x 32/100=> 3 x 32/2=> 3 x 16=> 48

Conclusion:

Therefore, 32% of 150 is 48.

Hoped this helped.

[tex]GeniusUser[/tex]

6>2k+4

WONDERINGGGGGGGGGGGGGGGGGGGGGGGGGGGG

Answers

Answer:

is it 1?

Step-by-step explanation:

Instead of dividing $15.00 by 2 1/2, double both numbers and then find the quotent.

Answers

6 because its 6 dont ask

What does the point (12,45) represent?
A
For 45 dictionaries, the cost is $12.
B The cost of each dictionary is 12 divided by $45.
C
The cost of 12 dictionaries is $45.
D
The total cost of the dictionaries is 12 times $45.

Answers

I think it might be A I’m not sure though but you can try it :)

If y ♾x and y = 2 when x = 8, then y = 3 when x =

Answers

Answer:

12

Step-by-step explanation:

The Constant (K) is equal to 8/2 aka 0.25 making the formula now y = 0.25 × x

We have y as 3 so

3 = 0.25 × x we take the 0.25 to the other side by dividing on both sides.. this makes it cancel out on the right.

x is now equal to 3/0.25 which is 12. X = 12

Answer:

Is the answer 9 for the last x

Step-by-step explanation:

hope this helps

Consider the line y=-5x+3. Find the equation of the line that is parallel to this line and passes through the point (3,4). Find the equation of the line that is perpendicular to this line and passes through the point (3, 4).

Answers

Answer:

parallel

y= -5x + 19

perpendicular

y= (1/5)x + 17/5

Step-by-step explanation:

yeah-ya......... right?

WHAT IS 10x+55 = 100​

Answers

Answer:

[tex]x=\cfrac{9}{2}\: or\: x=4.5[/tex]

Step-by-step explanation:

[tex]10x+55 = 100[/tex]

[tex]10x+55-55=100-55[/tex]

[tex]10x=45[/tex]

[tex]\cfrac{10x}{10}=\cfrac{45}{10}[/tex]

[tex]x=\cfrac{9}{2}[/tex]

HOPE IT HELPS!

Subtract 55 from both sides.

10x=100-55

Simplify 100-55 to 45.

10x=45

Divide both sides by 10.

[tex]x = \frac{45}{10} [/tex]

Simplify

[tex]x = \frac{9}{2} [/tex]

convert the following equation into standard form. y= -5x/6+2

Answers

Answer:

5x + 6y = 12

Step-by-step explanation:

The standard form of a linear equation is  Ax + By = C.

Multiply both sides by  6

6y = 6(-5x/6 + 2)

Simplify the right side

Simplify  

6(−5x/6+2)

Apply the distributive property =  a  ( b + c )  = ab + ac

6y = 6( −5x/6) + 6 ⋅ 2

Cancel the common factor of  6

Move the leading negative in  −5x/6 into the numerator

6y = 6 −5x/6 + 6 ⋅ 2

Cancel the common factor 6

Rewrite the expression

6y  = −5x + 6 ⋅ 2

Multiply  6  by 2

6y = -5x + 12

Move all terms containing variables to the left side of the equation

Add  5x to both sides of the equation.

6y + 5x = 12

Reorder 6y and 5x

5x + 6y = 12

120% of what number is 102

Answers

Answer:

122.4 i think

Step-by-step explanation:


5.
Which of the following equations describes the graph?

Answers

Step-by-step explanation:

I've been a substitute for a few day for College students so the answer is y equal s x2-5x+2

What is the slope of the line?
I really need help

Answers

You chose two points, (1,2) and (4,4). 4-2=2 and 4-1=3. You divide 2 by 3 and you would get the slope 2/3
(-2,0)(1,2)

Slope

m=(2-0)/1+2m=2/3

You can answer the ones you want to. At least one.


Have no idea how to do this. Please help I beg you.

Answers

Answer:

Step-by-step explanation:

5a.) It starts with two at time one and increases by one each time

5b.) x+1

6.) Formula: (2/3)(x-1)+1, the fifth term would be (2/3)*(5-1)+1= 11/3

7a.) I will leave you to make the table. n+2 is wrong because it's increasing by 2 blocks each time

7b.) 2n+1

8a.) x²

8b.) just draw a 6x6

8c.) 12²=144

PLEASE HELP ME I AM STUCK AND I HAVE A HEADACHE I WILL GIVE BRAINLIST!!!!!!!

Answers

First, we can eliminate d(x) because we can see it's a linear line. We can also eliminate a(x) because it's also a linear line. Both b(x) and c(x) have an asymptote. on b(x) you can see that x = 3 is the asymptote. For c(x) if it's graphed, it has a horizontal asymptote at y = -1.

Hope this helps!

A line passes through (9,2) and (12,-4). Write the equation of the line in standard form.
A. 2x + y = 20
B. 2x - y = 5
C. 2x - y = 16
D. 2x + y = 16

Answers

A line passes through (9,2) and (12,-4).So, x = 9, y = 2x = 12, y = -4

For the 1st equation,

2x + y = 20Putting x = 9, y = 2or, 2 (9) + 2 = 20or, 18 + 2 = 20or, LHS = RHSNow, putting x = 12, y = -4 in the above equation, we have2(12) + (-4) = 20or, 24 - 4 = 20or, LHS = RHS.So we can see that the first equation is the equation of the line.This is given in the graph in the picture.Like this way, if we check with other equations, we see that they are not the required equation of the line.

Answer:

A. 2x + y = 20

Hope you could get an idea from here.

Doubt clarification - use comment section.

30,098 / 6

Quotient and Remainder

Answers

Answer:

5,016.33333333

Step-by-step explanation:

divide

Your teacher will grade your response to ensure you receive proper credit for your answer.
Explain how to find the degree of a polynomial.

please....help...

Answers

Answer:

Step-by-step explanation:

Degree is defined as the highest power of the polynomial function.

The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.

The polynomial function has n roots or zeroes.

Consider a polynomial function  

The highest power of the polynomial function is 4.

Therefore, the degree of the polynomial function is 4.

Since, the degree of the polynomial function is 4. Therefore, the polynomial has 4 roots.

The highest power of the polynomial function is known as the degree and the number of roots is equal to the degree.

Santa’s reindeer can fly at a speed of 42,444,445.56 miles per hour. At that rate, how far can they travel in 3.5 hours?

Answers

Answer:

Answer: 148555559.46

Step-by-step explanation:

42,444,445.56 x 3 =127333336.68

42,444,445.56 divided by two is 21222222.78

127333336.68 + 21222222.78 = 148555559.46

If a car travels 299.8 miles in 7.5 hours, what is the car's speed? please help quick!

45 mi/hr

27.5 mi/hr

25 mi/hr

40 mi/hr

Answers

Answer:

answer is D

Step-by-step explanation:

speed = distance divide by time.

299.8/ 7 .5

40

hlo do this question plz
out of 9o civil servants 65 were working in the office ,50 were working in the field and 35 were working in both the premises .

a)How many civil servants were absent ?
B)How many civil servants were working in the field only?​

Answers

Answer:

(a): 10 civil servants who were absent.

(b): 15 civil servants are in field only.

Step-by-step explanation:

Let;

Civil servants in office be oCivil servants in field be f

[tex]{ \rm{ \sum(n) = 90}} \\ \\ { \rm{n(o) = 65}} \\ \\ { \rm{n(f) = 50}} \\ \\ { \rm{(o \: { \huge{n}} \: f) = 35}}[/tex]

Question (a):

Let the absentees be x

[tex]{ \rm{x + (65 - 35) + (50 - 35) + 35 = 90}} \\ \\ { \rm{x + 80 = 90}} \\ \\ { \rm{x = 10}}[/tex]

There are 10 absentees.

Question (b):

Servants in field only;

[tex]{ \rm{n(f \: only) = 50 - 35}} \\ \\ { \rm{n(f \: only) = 15 \: servants}}[/tex]

: Andre poured 27 ounces of rice into 6 containers. If all containers have the same amount of rice, how many ounces are in each container?

Answers

The answer is 4.5 ounces.

27/6=4.5

HELP ASAP PLEASE!!
full work shown gets brainliest!!


What is the product of 8 radical 5and 2 radical 30 in simplest radical form?

Answers

Answer:

= 40√6

Step-by-step explanation:

least common multipler of 8,2:8

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