Polynomials Review

Factoring Polynomials

10

4x²+6x-8

2(2x²+3x-4)

20

5x⁴-15x³+50x²

5x²(x²-3x+10)

30

8x²+16x-36

4(2x²+4x-9)

40

9x³+27x²-81x

9x(x²+3x-9)

Name That Polynomial

10

x⁴+2x-3

4^th Degree Trinomial

20

x³+2x²-x+4

Cubic Polynomial 

30

x²+5x+3

Quadratic Trinomial

40

x+2

Linear Binomial

Adding Polynomials

10

(x²-5x+3)+(2x³+2x²-2)

2x³+3x²-5x-2

20

(x²+6x-3)+(2x²-x+17)

3x²+5x+14

30

(4x⁴+3x)+(3x²+2)

4x⁴+3x²+3x+2

40

(x³+12x+2)+(x²-6x+4)

x³+x²+6x+6

Subtracting Polynomials

10

(x²+3x-1)-(x²+2x-4)

x+3

20

(4x²+3x-4)-(x²-4x+5)

3x²+7x-9

30

(4x²+x-5)-(x²-6x+4)

3x²+7x-9

40

(x³+5x)-(x²+2x-3)

x³-x²+3x+3

Multiplying Polynomials

10

(x+2)(x-3)

x²-x-6

20

(x²+3x+2)(x-2)

x³+x²-4x-4

30

(x⁴+6x)(x-5)

x⁵-5x⁴+6x²-30x

40

(x+9)(x²+5x-3)

x³+14x²+42x-27