Identifying and More Practice on Polynomials

Identifying Polynomials and More Exercises on Operations of Polynomials

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Multiple Choice

Is the following a polynomial? Take note that the exponent is a variable.

9^m

• yes, because it does not matter what the exponent is.

• no, because the exponent is a variable.

Multiple Choice

Is this expression a polynomial or not?

NOTE: A variable is under the radical.

• polynomial because a radical has a positive integer exponent

• not a polynomial because a radical when converted to exponential has a non- integer exponent.

Multiple Choice

Is  $y=\sqrt{x^3-7x^2+8x-1}$  a polynomial?

• Yes, with degree 3 and leading coefficient 1.

• No, this is a square root of a polynomial, but not a polynomial.

Multiple Choice

Is  $y=\ \frac{2}{3}x^5-3x^4+8x^2-16$  a polynomial?

• Yes, and the degree is 5 with leading coefficient 2/3.

• No, because there is a fraction coefficient.

Multiple Choice

Classify the polynomial by its number of terms.

4x² - 2

• monomial

• binomial

• trinomial

• not a polynomial

Multiple Choice

What is the value of the constant?
2x² + 4x − 5

• 2
• 4
• 5
• −5

Multiple Choice

Classify by the DEGREE:
3x - 2

• 1
• 2
• 3
• 4

Multiple Choice

Is this expression a polynomial?

NOTE - A variable is in the denominator of the expression.

• Yes, it is a polynomial.

• No, it is not a polynomial

Multiple Choice

 $What\ is\ the\ \deg ree\ of\ 3x^2+\frac{1}{2}x^5$  

• 2

• -2

• 5

• 1/2

Multiple Choice

If the degree of a polynomial is 2, the type is...

• quadratic

• linear

• cubic

• constant

• quartic

Multiple Choice

If the degree is 1, the type is...

• quadratic

• linear

• cubic

• constant

• quartic

Multiple Choice

g(x)=3x² − 1x^-4 + 7

• Yes, it is a polynomial function.

• No, it is not a polynomial function because it has a negative exponent.

Multiple Choice

 $\left(5+x\right)+\left(3x-1\right)$  

•  $-4x+4$  

•  $-4x+3$  

•  $4x+4$  

•  $-x+4$  

Multiple Choice

 $\left(3p^2+3p\right)+\left(2p^2-2p\right)$  

•  $5p^2+4p$  

•  $5p^2+p$  

•  $5p^2+3p$  

•  $5p^2$  

Multiple Choice

 $\left(3x+2x^2+2\right)+\left(5+5x+x^3\right)$  

•  $x^3+2x^2+8x+7$  

•  $7+2x^2+4x$  

•  $8+2x^2+4x$  

•  $x^32x^2+4x+7$  

Multiple Choice

 $\left(n^3-3n-5n^2\right)+\left(n^2+3+2n^3\right)$  

•  $-n^3-4n^2+n+3$  

•  $3n^3-4n^2+n+3$  

•  $2n^3-4n^2+n+3$  

•  $3n^3-4n^2-3n+3$  

Multiple Choice

(5x² - 7xy) - (-2xy +3x²) =

• 2x² - 5xy

• 2x² + 5xy

• - 2x² - 5xy

• - 2x² + 5xy

Multiple Choice

(3h - 4) - (8h - 2) =

• -11h - 2

• - 5h + 2

• - 5h - 2

• - 5h - 6

Multiple Choice

(7x - x²) - (9x² + 2x) =

• 10x² + 5x

• -10x² - 5x

• - 5x + 10x²

• 5x - 10x²

Multiple Choice

Simplify the expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3 
• -7n² - 8n + 3 
• -6n² - 8n + 3
• -7n² - 4n + 3

Multiple Choice

Rewrite using a positive exponent.
(-5)^-4

• (-5)⁴
• ¹/_(-5)^-4
• ¹/_(-5)⁴
• -625

Multiple Choice

Simplify.

• y⁶⁰
• ¹/_y¹⁶
• y^-16
• y⁴

Multiple Choice

Simplify.
2^-3 ⋅ 2^-4

• ¹/₁₂₈
• 2^-7
• 2¹²
• 2⁷

Multiple Choice

Rewrite using a positive exponent.

7^-10

• ¹/₇¹⁰

• 7¹⁰

• ¹/₇^-10

• -70

Multiple Choice

Rewrite using a positive exponent.

7^-10

• ¹/₇¹⁰

• 7¹⁰

• ¹/₇^-10

• -70

Multiple Choice

6v(2v + 3)

• 12v+18

• 12v² + 18v

• 15v² + 8v

• 12v² + 18v²

Multiple Choice

Find the product using

the distributive property.

-8x ( 4x² - 9x + 12)

• -32x² - 72x + 96

• -32x³ - 72x² - 96x

• -32x³ + 72x² - 96

• -32x³ + 72x² - 96x

Multiple Choice

Multiply these binomials.

( x + 6 ) ( x - 8 )

• x² - 2x + 48

• x² - 2x - 48

• x² + 2x - 48

• x² - 48

Multiple Choice

Find the product.

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

• 6x² - 7xy - 20y²

• 6x² + 7xy - 20y²

• 6x² - 7xy + 20y²

• 6x² - 20y²

Multiple Choice

Multiply using the 'FOIL' method.

( 3x + 5 ) ( 2x + 3 )

• 6x² + 19x

• 6x² + 15

• 6x² + 19x + 8

• 6x² + 19x + 15