Polynomial Operations

Adding and Subtracting

100

Simplify (5x²+3x+1)+(2x²+3x+3)

What is 7x²+6x+4?

200

Simplify (3x²-2x+4)+(x²+x-1)

What is 4x²-x+3?

300

Simplify (5x²+3x+1)-(2x²+3x+3)

What is 3x²-2?

400

Simplify (3x²+x+1)-(x²-3x+3)

What is 2x²+4x-2?

500

Simplify (x³+x²+1)-(4x²-3x-3)

What is x³-3x²+3x+4?

Greatest Common Factors

100

Identify the GCF of 6x-9

What is 3?

200

Identify the GCF of 5x³+25x²-45x

What is 5x?

300

Factor 22x+55

What is 11(2x+5)?

400

Factor 4x³y+6x²y+12xy.

What is 2xy(2x²+3x+4)?

500

Factor 6x²+3x+14xy+7y by grouping

What is (3x+7y)(2x+1)?

Multiplying Polynomials

100

Multiply (x+3)(x+4)

What is x²+7x+12?

200

Multiply (3x+5)(x-1)

What is 3x²+2x-5?

300

Multiply (3x+7)(3x-7)

What is 9x²-49?

400

Multiply (-7x+4)(5x-12)

What is -35x²+104x-48?

500

Multiply (2x-1)(x²+3x-2)

What is 2x³+5x²-7x+2?

Factoring Trinomials

100

Factor x²+9x+20

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

200

Factor x²+3x-18

What is (x-3)(x+6)?

300

Factor x²-13x+30

What is (x-10)(x-3)?

400

Factor 4x²+8x+3

What is (2x+1)(2x+3)?

500

Factor 5x²-17x+6

What is (5x-2)(x-3)?

Wildcard

100

Write the prime factorization of 99.

What is 3*3*11?

200

Identify the GCF of a⁵b²c - a²c⁴ + a³b²c²

What is a²c?

300

Evaluate f(x)=x²+2x-7 for f(10)

What is 113?

400

Fully simplify (x+1)(x-1) + (x+2)(x-2)

What is 2x²-5?

500

Factor 4x²-25 into two binomials.

What is (2x-5)(2x+5)?