Polynomials & Factoring Review

Adding/Subtracting Polynomials

100

Add the following polynomials

x⁴+4x⁴

5x⁴

200

Subtract the following polynomials

7x⁴-2x⁴

5x⁴

300

Add the following polynomials

(3x³+x²+9)+(x³-3x²+1)

4x³-2x²+10

400

Subtract the following polynomials

(5a³ - 2a²) - (4a³+3a²)

a³ - 5a²

500

Add the following polynomials

(2k³-7k)+(-5k³-k²-3k)

-3k³-k²-10k

Multiplying Polynomials

100

Multiply the following polynomials

w²(w²+3)

w⁴+3w²

200

Multiply the following polynomials 

r²(7r³-3r+9)

7r⁵-3r³+9r²

300

Multiply the following polynomials

(9m-3)(2m+3)

18m²+21m-9

400

Multiply the following polynomials

(3r²+5)²

9r⁴+30r²+25

500

Multiply the following polynomials

(x²+4)(x³+6x-3)

x⁵+10x³-3x²+24x-12

Factoring Polynomials

100

Factor the polynomial

15g³-5g

5g(3g²-1)

200

Factor the polynomial

3g⁴+9g³-18g²

3g²(g+3)(g-2)

300

Factor the polynomial 

16x²-4

4(2x-1)(2x+1)

400

Factor the polynomial

x²+5x-14

(x+7)(x-2)

500

Factor the polynomial

4x²+22x+10

2(2x+1)(x+5)

General Polynomials

100

The degree of this polynomial: 

x³-7x²+4x-19

cubic polynomial

200

Classify this polynomial:

2x³+3x-7

cubic trinomial

300

Classify:

10

constant monomial

400

True or False

Polynomials can have constants, variables and exponents

true

500

The degree of this polynomial

6x³-3x+12x²+x⁴

quartic

More Factoring Polynomials

100

What is the GCF of 12x² and 3x?   

3x

200

Factor out the GCF:

10x⁵ + 40x²

10x²(x³+4) 

300

Factor the trinomial: x² + 8x + 15

(x + 5)(x + 3)

400

Factor the trinomial: 7x² + 26x - 8

(7x-2)(x+4)

500

Factor out the GCF, then factor the trinomial:

24x³+42x²+18x

6x(4x+3)(x+1)