Multiplying Polynomials

Binomials

100

3x(2x+5)

What is 6x²+15x

200

(x - 2)(3x + 1)

What is 3x² - 5x - 2?

300

(x+1)(x-3)

What is x²-2x-3?

400

(2x+1)(3x²-4)

What is 6x³+3x²-8x-4

500

(3xy+6)(2x+y)

What is 6x²y+3xy²+12x+6y

Trinomials

100

3x(x²+2x-1)

What is 3x³+6x²-3x?

200

(x+1)(3x²-2x+1)

What is 3x³+x²-x+1?

300

(x+3)(3x²-4x-5)

What is 3x³+5x²-17x-15?

400

(x²+3x+1)(x²-4x+2)

What is x⁴-x³-9x²+2x+2?

500

(2xy + 3x + 1)(2x² + 2x +2)

What is 4x³y + 6x³ + 4x²y + 8x² + 4xy + 8x + 2?

Vocabulary

100

A polynomial with a single term

What is a monomial?

200

A polynomial with exactly 3 terms

What is a trinomial?

300

Anything to the power of 0 is...

What is 1?

400

When multiplying two powers with the same base, we...

What is add the exponents

500

When an exponent is applied to the outside of parentheses, we...

What is multiply the exponents (inside the parentheses)?

Special Cases

100

(x+1)²

What is x²+2x+1

200

(2x-3)²

What is 4x² - 12x + 9?

300

(1 + x)(4 - x)

What is -x² + 3x +4

400

(2x² + 3x)(2x² - 3x)

What is 4x⁴ - 9x²

500

(3xy+3y)²

What is 9x²y² + 18xy² + 9y²

Potpourri

100

(9x - 6) + 2x(-5x + 7)

What is -10x² + 23x - 6?

200

6a(4a – 2b) – 2b(9b – 7a)

What is 24a² + 2ab - 18b²

300

Simplify: -2x(x2y + 2xy + 3x + 2) - 3(5x2y - 5xy - 6x - 7)

What is -2x3y - 19x2y - 6x2 + 15xy +14x +21

400

a - 4a(6a+2b²) + 2a(a²-6b²) - b²

What is 2a³ - 20ab² - 24a² -b² + a

500

Solve: (3x - 2)(2 – 4x) + 6x(5x + 2)

What is 6x³ + 18x² - 33x