Polynomials and Factoring Test Review

Classifying Polynomials

100

Classify this polynomial based on its degree and number of terms

x²+4x

quadratic binomial 

200

Classify this polynomial based on its degree and number of terms

5x⁴+6x²+4

quartic trinomial

300

Classify this polynomial based on degree and number of terms:

16

constant monomial

400

Classify this polynomial by degree and number of terms

6x+4x²+3

quadratic trinomial

500

Classify this polynomial by degree and number of terms

7x+6x³-4x+2x³+10-2

cubic trinomial 

Adding/Subtracting

100

Simplify:

(6x+1)+(2x+2)

8x+3

200

Simplify:

(7x²+2x)-(3x²+x)

4x²+x

300

Simplify:

(4x³+2x²-6)+(5x³-2x²+4)

9x³-2

400

Simplify:

(4x²+6x-10)-(2x²-3x+4)

2x²+9x-14

500

Simplify:

(6x³+4x)-(2x+10)

6x³+2x+10

Multiplying Polynomials

100

Simplify:

6x(2x+5)

12x²+30x

200

Simplify:

5x²(2x+10)

10x³+50x²

300

Simplify:

(x+4)(x+2)

x²+6x+8

400

Simplify:

(2x²+4)(3x²-2)

6x⁴-8x²-8

500

Simplify:

(2x+2)(x²-3x+4)

2x³-4x²+2x+8

Factoring Polynomials

100

Factor:

x²+11x+30

(x+6)(x+5)

200

Factor:

x²-7x+12

(x-3)(x-4)

300

Factor:

x²-6x-55

(x-11)(x+5)

400

Factor:

12a²+16a

4a(3a+4)

500

Factor:

10x³y³+20x²y²+30xy

10xy(x²y²+2xy+3)

Miscellaneous

100

Classify this polynomial:

2x+10

linear binomial

200

Simplify:

(10x-7)-(4x-3)

6x-4

300

Simplify:

5x²(4x+10)

20x³+50x²

400

Factor:

25x⁵+15x⁴+10x³

5x³(5x²+3x+2)

500

Factor:

72x³y²+60x²y+24x

12x(6x²y²+5xy+2)