Algebra 1B Factoring Review

GCF

100

The factored form of 12a²+16a.

What is 4a(3a+4)?

200

The factored form of a²b²+a.

What is a(ab+1)?

300

The factored form of 10q-25q².

What is 5q(2-5q)?

400

The factored form of x+x²y+x³y².

What is x(1+xy+x²y²)?

500

The factored form of 4a²b²+16ab+12ab³.

What is 4ab(ab+4+3b²)?

Difference of Squares

100

The factored form of x²-9.

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

200

The factored form of 81-s².

What is (9-s)(9+s)?

300

The factored form of 25x²-49.

What is (5x+7)(5x-7)?

400

The factored form of x²+9?

What is prime?

500

The factored form of 144y⁴-36x².

What is (12y²-6x)(12y²+6x)?

Grouping

100

The factored form of 2xy+2x+5y+15.

What is (y+3)(2x+5)?

200

The factored form of 3x³-21x²+4x-28.

What is (3x²+4)(x-7)?

300

The factored form of 2y⁴-6y³-7y+21.

What is (y-3)(2y³-7)?

400

The factored form of 16a³+8a²-6a-3.

What is (2a+1)(8a²-3)?

500

The factored form of 4r²s-8rs-3r+6.

What is (r-2)(4rs-3)?

Diamond Method

100

The factored form of x²+11x+30.

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

200

The factored form of x²+2x-15.

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

300

The factored form of x²+7x-18.

What is (x+9)(x-2)?

400

The factored form of x²-19x+84.

What is (x-12)(x-7)?

500

The factored form of x²-22x+121.

What is (x-11)²?

Polynomial Operations

100

The sum of (12y+20y²-2)+(-13y²+y-10) in standard form.

What is 7y²+13y-12?

200

The difference of (11x-13-7x³-8x²)-(2x+8x²+20) in standard form.

What is -7x³-16x²+9x-33?

300

The product of (4x+1)(6x+3) in standard form.

What is 24x²+18x+3?

400

The product of (2y-11)(y²-3y+2) in standard form.

What is 2y³-17y²+37y+22?

500

The quotient of (5x⁴+55x²-10xy) / (5x) in standard form.

What is x³+11x-2y?