Free Printable Polynomial Functions

Worksheets

Polynomial Functions

Total questions: 19

Worksheet time: 36mins

Name

Class

Date

f(x) = 2x³ - 3x² + 4x -10

What is the degree of f(x)?

f(x) = -3x⁴ + x³ - 2x² + x - 1

What is the degree of f(x)?

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4?

What is another way to say "where a function crosses the x-axis"?

x-intercept

zero

root

all of these.

What is the degree?

Positive

Negative

Odd

Even

What is the degree?

Positive

Negative

Odd

Even

What is the leading coefficient?

Positive

Negative

Odd

Even

What is the leading coefficient?

Positive

Negative

Odd

Even

What could be the equation for this graph?

y = -2x³+ 1x + 3

y = (x - 2)(x + 1)(x + 3)

y = (x + 2)(x - 1)(x - 3)

y = -2x² + 1x + 3

10.

Which equation MOST LIKELY matches the graph?

y = x⁴- x³ + 3x² + 2

y = -x⁴ + x³ + 5x + 2

y = x³ - 2x² + 1x + 3

y = -x³ - 2x² + 1x + 3

11.

What is the standard form of the polynomial,
7x - 125 - 6x⁴ + 14x²

125 + 7x - 14x² +6x⁴

6x⁴ -14x² - 7x +125

125 + 14x² + 7x - 6x⁴

-6x⁴+ 14x² + 7x - 125

12.

Even Degree
- Leading Coeff.

Even Degree
+ Leading Coeff.

Odd Degree
- Leading Coeff.

Odd Degree
+ Leading Coeff.

13.

The domain of a polynomial function is always (-∞, +∞).

True

False

14.

Perform the indicated operation. Write answer in descending order. ( 8x² - 12x + 6 ) + ( 7x³ + 8x - 15 )

15x² - 4x - 9

7x³ + 8x² - 4x - 11

7x³ + 8x² - 4x - 9

15x² - 4x - 11

15.

Perform the indicated operation.

Write answer in descending order.

( 9x² - 7x + 8 ) - ( 12x² - 8x - 11 )

-3x² - 15x + 19

21x² - 15x - 3

-3x² - 15x - 3

-3x² + x + 19

16.

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

11a³ - 4a² - 14a - 7

5a³ - 4a² - 14a - 7

5a³ - 4a² - 20a - 7

5a³ - 9a² - 20a - 7

17.

Simplify: $\left(a+4\right)^2$

$a^2+16$

$a^2+8$

$2a+8$

$a^2+8a+16$

18.

Find the product.

( 2x - 5y ) ( 3x + 4y )

6x² - 7xy - 20y²

6x² + 7xy - 20y²

6x² - 7xy + 20y²

6x² - 20y²

19.

Multiply.

(Note: binomial times trinomial)

( x - 4 ) ( x² + 9x - 7 )

x³ + 13x² + 29x + 28

x³ + 5x² - 43x + 28

x³ - 4x² - 7x + 28

x³ - 5x² + 43x + 28

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Polynomial Functions

Total questions: 19

Worksheet time: 36mins

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