POLYNOMIAL OPERATIONS & FACTORING

Adding and Subtracting

100

(-3a - 2) + (7a + 5)

4a + 3

200

(4x+10x²+5) - (2x²-7+3x)

8x²+x+12

300

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

500

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

Multiplying

100

3x⁴(5x²+12+7y)

15x⁶+36x⁴+21x⁴y

200

(5n+1)(5n-1)

Difference of Squares!

25n² - 1

300

(3x-7)(x-1)

3x²-10x+7

400

(7x-1)(x²-5x+2)

7x³-36x²+19x-2

500

(3x+4)(2x²-4x+5)

6x³-4x²-x+20

Factor by GCF

100

Factor by GCF: 14n²+10n

2n(7n+5)

200

Factor by GCF: 18x³-6x

6x(3x²-1)

300

Factor by GCF: 8-4a²

4(2-a²)

400

Factor by GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF: 10a³b⁴-6a²b⁶

2a²b⁴(5a-3b²)

Factoring trinomials

100

x²+8x+12

(x+6)(x+2)

200

m²-11m+18

(m-9)(m-2)

300

x²+5x-24

(x+8)(x-3)

400

y²-6y-7

(y-7)(y+1)

500

x²+10x-24

(x+12)(x-2)

Difference of Squares (Binomial)

100

x²-16

(x+4)(x-4)

200

4x²-25

(x+5)(x-5)

300

225x²-361

(15x-19)(15x+19)

400

961x²-1024

(31x-32)(31x+32)

500

A rectangular soccer field has an area of:

2704x²-400

Find the expression that represents the side lengths:

(52x-20(52x+20)