Adding/Subtracting/Multiplying Polynomials

Add/Subtract Polynomials

100

(4x² + 2x) + (x² + 6x)

5x² +8x

200

(-3a² - 2a) - (4a² - 4)

-7a² - 2a + 4

300

(2a² - 7a + 10) + (a² + 4a + 7)

3a² -3a +17

400

(2r² - 5r + 7) + (3r³ - 6r)

3r³ + 2r² -11r + 7

500

(4 - x - 2x²) - (-2 + 3x - x³)

x³ - 2x² - 4x + 6

Factoring Trinomials

100

 x²+8x+12

(x+6)(x+2)

200

x²+5x-24

(x+8)(x-3)

300

x²-x-56

(x-8)(x+7)

400

7x²-36x+5

(7x-1)(x-5)

500

2x²-12x+10

2(x-1)(x-5)

Factored form using a GCF

100

14n²+10n

2n(7n+5)

200

18x³-6x

6x(3x²-1)

300

4x⁴+16x³-8x²

4x²(x²+4x-2)

400

8-4a²

4(2-a²) or 4(-a²+2)

500

10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Multiplying Polynomials

100

(x + 4)(x - 2)

x² + 2x - 8 

200

(a + 3)(a − 2)

a² + 1a − 6

300

(4m + 2)(4m + 5)

16m² + 28m + 10

400

(5b − 6)(5b^2 + 4b − 2)

25b³ − 10b² − 34b + 12

500

(8n^2 + n − 4)(6n^2 − 6n − 4)

48n⁴ − 42n³ − 62n² + 20n + 16

Mixed Review

100

Classify this polynomial: x³+2

Cubic Binomial 

200

What type of special case is this? Factor it.

(81x²-4)

Difference of two squares

(9x-2)(9x+2)

300

What type of special case is this? Solve it. 

(4x²+12x+9)

Perfect square trinomial.

(2x+3)² 

400

How can you factor this? Solve it. 

x⁴+3x³+2x²+6x

By grouping.

x(x²+2) (x+3)

500

Put the following polynomial into standard form: 

-2x²+3-5x-3+x⁴

x⁴-2x²-5x