Chapter 8 Test Review: Polynomials

Polynomial Vocabulary

100

How many terms does the following polynomial have?

2-a+3a^4-7a^3+6a^2

5

200

Identify the constant term in the polynomial below:

-5p+2p^3-8+3p

-8

300

Write the following polynomial in standard form:

3x^2-2x^5+9-x

-2x^5+3x^2-x+9

400

What is the degree of the polynomial below?

4y^3-2y^4+3-5y^2

4

500

What is the leading coefficient of the following polynomial?

3-4t^2-5t^3+7t

-5

Add/Subtract

100

(2x^2-3)+(4x^2+10)

6x^2+7

200

(9g^3-2g^2+g)+(5g^2-6g)

9g^3+3g^2-5g

300

(4t^5-11t^2)-(3t^2-2t^5)

6t^5-14t^2

400

(7b^4+2b^2-4)-(2b^2-5b+1)

7b^4+5b-5

500

(3p^2n-5pn^2+4np)-(9np-p^2n-2p^2n^2)

4p^2n-5pn^2-5np+2p^2n^2

Multiply

100

m^9m^4

m^13

200

(4d^5)(-2d^2)

-8d^7

300

-2r^3v(4r^2v^2-5r)

-8r^5v^3+10r^4v

400

(2x+5)(x-3)

2x^2-x-15

500

(2q-t)^2

4q^2-4qt+t^2

Divide

100

w^9/w^2

w^7

200

(-12a^15)/(4a^3)

-3a^12

300

(2c^7f^15)/(10c^6f)

(cf^14)/5

400

(6h^4-12h^3+9h^2)div(3h^2)

2h^2-4h+3

500

(4z^7-2z^5+5z^3)div(-2z^2)

-2z^5+z^3-5/2z

Factor

100

5k+20

4(k+5)

200

6t^3-5t^2

t^2(6t-5)

300

10a^3b^5+4a^2b^3

2a^2b^3(5ab^2+2)

400

9x^8+3x^6+12x^5

3x^5(3x^3+x+4)

500

15u^4y^2-5uy^2+20u^2y^3

5uy^2(3u^3-1+4uy)