Intro to Polynomials Practice

Simplify the following:

 $\left(2x^{-3}y^4\right)^{-4}\cdot2x^{-2}$  

•  $\frac{-32x^{10}}{y^{16}}$  

•  $\frac{x^{10}}{8y^{16}}$  

•  $\frac{1}{8x^9}$  

•  $\frac{-32}{x^9}$  

What is the degree of the following monomial?

 $-6n^7m^9$  

• -6

• 7

• 9

• 16

Name the polynomial using its degree and number of terms:

 $-9a^4$  

• constant monomial

• linear polynomial

• 4th degree binomial

• 4th degree monomial

Simplify the following expression:

 $\left(-4r+8r^3\right)-\left(7r-2r^2+2r^3\right)$  

•  $6r^3+2r^2-11r$  

•  $10r^3-2r^2+3r$  

•  $6r^3-2r^2-11r$  

•  $-2r^3+6r^2-11r$  

Find the product:

 $7k\left(6k-8\right)$  

•  $13k^2-15k$  

•  $42k^2-56k$  

•  $42k^2-56$  

•  $13k-15$  

Simplify the following:

 $\frac{b^3}{2a^3b^{-3}\cdot4b^4}$  

•  $\frac{1}{8a^3b^9}$  

•  $\frac{b^{15}}{8a^3}$  

•  $\frac{b^4}{8a^3}$  

•  $\frac{b^2}{8a^3}$  

What is the degree of the following polynomial?

 $7m^3-m^5+m$  

• 1

• 3

• 5

• 9

Identify the standard form of the following polynomial:

 $8x-9x^4+6$  

•  $8x-9x^4+6$  

•  $6+8x-9x^4$  

•  $-9x^4+8x+6$  

•  $9x^4-8x+6$  

Name the polynomial using its degree and number of terms:

 $-6r+3+4r^2$  

• quadratic trinomial

• quadratic binomial

• linear trinomial

• linear binomial

Simplify the following expression:

 $\left(6-5n^4-3n\right)+\left(-5n^4+3-n\right)$  

•  $-4n+9$  

•  $-10n^4-4n+9$  

•  $-10n^8-4n^2+9$  

•  $-10n^4+5$