Multiplying Polynomials

Binomials

100

(x+1)3x

What is 3x^2+3x

200

x²(3x+1)

What is 3x³+x²?

300

(x+1)(x-3)

What is x^2-2x-3?

400

(2x+1)(3x²-4)

What is 6x³+3x²-8x-4

500

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

What is 6x^2y+3xy^2+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

An expression with a degree of 1

What is linear?

200

A polynomial with exactly 3 terms

What is a trinomial?

300

A monomial with a degree of 0

What is a constant?

400

An expression with a degree of three

What is cubic

500

Categorize by degree and terms: x²+5x-6

What is a Quadratic Polynomial?

Special Cases

100

(x+1)²

What is x²+2x+1

200

(x+1)(x-1)

What is x² - 1

300

(2x-3)²

What is 4x² - 12x + 9?

400

(2x² + 3x)(2x² - 3x)

What is 4x⁴ - 9x²

500

(3xy+3y)²

What is 9x²y² + 18xy² + 9y²

Potpourri

100

Add the polynomials: 

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

What is 4x + 1?

200

Subtract the polynomials: 

(-7x²  + 3x + 2) - (5x² - 6x - 7)

What is -12x² + 9x + 9?

300

This property says A⁷*A¹⁴=A²¹.

What is Multiplication Property of Exponents?

400

This property says x²⁵/x²⁰=x⁵.

What is Division Property of Exponents?

500

This property says (x²)³=x⁶.

What is Power Rule Property of Exponents?