Topic 7 Polynomials Test Review (Alg 1)

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)

Factoring a>1

100

2x² + 10x + 12

(x + 3)(2x + 4)

200

3x² - 4x + 1

(3x - 1)(x - 1)

300

5x² + 23x - 10

(5x - 2)(x + 5)

400

6x² - 11x + 3

(2x - 3)(3x - 1)

500

150x³-35x² - 10x

5x(5x - 2)(6x + 1)