Operations on Polynomials

Addition & Subtraction

100

Find the sum: 12p² + 8p²

What is 20p²

200

Simplify: (4w-5) - (9w+2)

What is -5w-7

300

Simplify: (6x²+7) + (3x²+1)

What is 9x²+8

400

Simplify: (2k²-k+3) - (5k²+3k-7)

What is -3k²-4k+10

Multiplication (distribute)

100

Simplify: 7(x+4)

What is 7x+28

200

Simplify: 2b(3b-11)

What is 6b²-22b

300

Simplify: -w²(w-15)

What is -w³+15w²

400

Simplify: 4x(2x³-7x²+x)

What is 8x⁴-28x³+4x²

Multiplication (FOIL)

100

Simplify: (x+7)(x+4)

What is x²+11x+28

200

Simplify: (2h-7)(h+9)

What is 2h²+11h-63

300

Simplify: (5m-2)²

What is 25m²-20m+4

400

Simplify: (v+6)(v-6)

What is v²-36

Division

100

Divide x³ - x² -3x + 2 by x - 2

x² + x - 1

200

Divide x³ - 20x² +100x - 125 by x - 5

x² -15x + 25

300

Divide 3x³ + 8x² + 3x - 2 by x + 2

3x² + 2x - 1

400

Divide 3x³ - 21x² + 4x - 28 by x -7

3x² +4