Unit 7 Polynomial Review

Classify

100

Classify the polynomial by degree and number of terms:

5x² + 7

quadratic binomial

200

Classify the polynomial by degree and number of terms:

x⁴ + 5x² + 9

quartic trinomial

300

Classify the polynomial by degree and number of terms:

6x³

cubic monomial

400

Classify the polynomial by degree and number of terms:

8x + 11

linear binomial

500

Classify the polynomial by degree and number of terms:

3x⁵ + 3x³ + 9x + 8

quintic quadranomial

Add & Subtract

100

Add the polynomials:

(14x + 5) + (10x + 5)

24x + 10

200

Add the polynomials:

(9x² + 12x + 12) + (7x² - 10x + 13)

16x² + 2x + 25

300

Subtract the polynomials: 

(6x + 14) - (9x + 5)

-3x + 9

400

Add the polynomials: 

(5x⁶ + 9x³ - 6x) + (-9x⁶ - 20x² + 6x)

-4x⁶ + 9x³ - 20x²

500

Subtract the polynomials

(-18x² + 4x - 16) - (15x² + 4x - 13)

-33x² - 3

Multiply

100

Multiply.

5(2x+3)

10x+15

200

Multiply.

2x(3x+4)

6x²+8x

300

Multiply.

7x²(5x⁴)

35x⁶

400

Multiply.

(x+2)(x-3)

x²-x-6

500

Multiply.

(3x+4)(x-6)

3x²-14x-24

Factor

100

Factor out the GCF.

3x+6

3(x+2)

200

Factor out the GCF

2x⁴+6x³+14x

2x(x³+3x²+7)

300

Factor the trinomial.

x²+6x+8

(x+2)(x+4)

400

Factor the trinomial.

x²-9x+18

(x-3)(x-6)

500

Factor the trinomial.

3x²+10x+8

(3x+4)(x+2)

Solve

100

Solve for x.

2x+5=8

x=3/2

200

Solve for x using the Zero Product Property.

(x+3)(x-4)=0

x=-3

x=4

300

Solve for x using the Zero Product Property.

(2x-1)(x+6)=0

x=1/2

x=-6

400

Solve the quadratic equation.

x²+6x+8=0

x=-2

x=-4

500

Solve the quadratic equation.

x²-9x+18=0

x=3

x=6