Factoring - Lessons 7.3, 7.5, 7.7

Difference of Squares

100

The factored form of x² - 9

What is (x+3)(x-3)

200

The factored form of 25x² - 36

What is (5x+6)(5x-6)

300

The factored form of 4x² - 121

What is (2x+11)(2x-11)

400

The factored form of 4x² - 16

What is 4(x+2)(x-2)

500

The factored form of 81x⁴ - 625

What is (9x² + 25)(3x + 5)(3x - 5)

Trinomials with a coefficient of 1

100

The factored form of x² - 6x + 8

What is (x-4)(x-2)

200

Identify all possible values for "b"

The factored form of x² + bx + 12

b = -13, -8, -7, 7, 8, 13

-1 + (-12) = -13

-2 + (-6) = -8

-3 + (-4) = -7

1 + 12 = 13

2 + 6 = 8

3 + 4 = 7

300

The factored form of 3x² +6x - 24

What is 3(x+4)(x-2)

400

The factored form of 2x² - 12x - 80

What is 2(x+4)(x-10)

500

The factored form of 2x² - 30xy + 112y²

What is  2(x-7y)(x-8y)

Multiplying Polynomials

100

What is (2x+1)(x+2)

 2x² + 5x + 2

200

What is (3x+4)(x+5)?

3x² + 19x + 20

300

What is (2x+y)(x-4y)

 2x² - 7xy - 4y²

400

What is (4x²+1)(2x²+1)

8x⁴ + 6x² +1

500

What is (2x³+y²)(3x³-2y²)

6x⁶ - x³y² - 2y⁴

Factoring out GCF

100

3x - 9

What is 3(x - 3)

200

4x² + 12x + 48

What is 4(x² +3x + 12)

300

5x³ - 30x² + 100x

5x (x² - 6x + 20)

400

32x³ + 8x²y + 16xy²

What is 8x(4x² +xy +2y²)

500

3x³y³ - 21x²y² + 18xy

What is 3xy(x²y² - 7xy + 6)

Perfect Square Trinomials

100

The factored form of x² + 6x + 9

What is (x+3)²

200

Identify the value of "c" in x² - 8x + c. Then put the trinomial in Factored form.

"c" = 16. So x² -8x + 16 in Factored form is (x-4)²

300

Find the factored form of 4x² + bx + 25 then state the value of "b"

What is (2x+5)²  and b = 20 

(Double product) 2*2x*5 = 20x

400

The factored form of 27x² - 18x + 3

What is 3(3x-1)²

500

The factored form of 72x³ + 264x² + 242x

What is 2x(6x+11)²