Topic 7 Review

Polynomial Addition

100

Combine terms: 2x + 3x

What is 5x?

200

Add (3x²+4x) and (2x²+x)

What is 5x²+5x?

300

Add (2x²+3x+4) and (5x²+7x+2)

What is 7x²+10x+6?

400

Add (4x³-3x²+2x) and (-x³+2x²+5x)

What is 3x³-x²+7x?

500

Add each polynomial: (2x³+4x²-x+6) and (3x³-2x²+5x-9)

What is 5x³+2x²+4x-3?

Polynomial Subtraction

100

Subtract: 5x-3x

What is 2x?

200

Subtract (7x²+4x) from (9x²+2x)

What is 2x²-2x?

300

Subtract (6x²-x+8) from (10x²+3x+2)

What is 4x²+4x-6?

400

Subtract (2x³-5x²+3x) from (4x³+x²-x)

What is 2x³+6x²-4x?

500

Subtract (5x³+3x²-4x+7)-(3x³-2x²+x-5)

What is 2x³+5x²-5x+12?

Polynomial Multiplication

100

Multiply: (x)(3x)

What is 3x²?

200

Multiply (x+2) by itself

What is x²+4x+4?

300

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

What is x²+2x-3?

400

Multiply (2x+1)(2x-1)

What is 4x²-1?

500

Multiply (x²+2x+1) by (x-2)

What is x³-2x²+2x-2?

GCF

100

Find the GCF of 12 and 16

What is 4?

200

Find the GCF of 8x² and 12x³

What is 4x²?

300

Find the GCF of 14x³y and 28x²y²

What is 14 x²y?

400

Factor 24x³-16x²+8x using the GCF

What is 8x(3x²-2x+1)?

500

Factor 40x⁴y-25x³y+15x²y using the GCF.

What is 5x²y(8x²-5x+3)?

Factoring Polynomials

100

Factor x²+5x+6

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

200

Factor x²-9

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

300

Factor x²-4x+4

What is (x-2)²?

400

Factor 2x²+3x-2

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

500

Factor x³-x²-6x

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