Multiplying Polynomials Review

Definitions

100

The term in a polynomial that is a number with no variable attached

What is a constant?

200

3xy is this type of polynomial

What is a monomial?

300

The number attached to a variable is this

What is a coefficient?

400

When multiplying polynomials we use the area method or this property

What is the distributive property?

500

The terms that can be collected together (eg. m, 3m, -5m) are called this

Like terms

Multiplying Monomials and Binomials

100

Multiply x(x+1)

What is x² + x?

200

Multiply -3x(x - 4)

What is -3x² + 12x?

300

Multiply -5x(-y + 4)

What is 5xy - 20x?

400

Multiply 4x²(5x - y)

What is 20x³ - 4x²y?

500

Multiply 3xy(xy - 1)

What is 3x²y² - 3xy?

Multiplying Binomials

100

Multiply (x + 1)(x + 1)

What is x² + 2x + 1?

200

Multiply (x + 5)(x - 4)

x² + x - 20

300

Multiply (3x + 2)(x - 3)

What is 3x² - 7x - 6?

400

Multiply (x + y)(x + y)

What is x² + 2xy + y²?

500

Multiply (4 - m)(2m + 3)

What is -2m² + 5m + 12?

Multiplying with Trinomials

100

Multiply 4(-x² + 3x - 5)

What is -4x² + 12x - 20?

200

Multiply -2y(4y² - y + 3)

What is -8y³ + 2y² - 6y?

300

Multiply (2x - 3)(3x² - 7x + 6)

What is 6x³ - 23x² + 33x - 18?

400

Multiply -a²b(-2ab²c + b⁴ - ac²)

What is 2a³b³c - a²b⁴ + a³bc²?

500

Multiply (x² - 2x + 3)(-4x² + 5x - 1)

What is -4x⁴ + 13x³ - 23x² + 17x - 3?

Mystery

100

Multiply (3t)(-t)

What is -3t²?

200

The exponent law for multiplying variables is this (eg. what we do with the exponents when we multiply (x²)(x))

Base stays the same, add the exponents (eg. (x²)(x) = x³)

300

Multiply (4x - 3)²

What is 16x² - 24x + 9?

400

Expand and simplify 2x(x + 2) + (4x - 1)(-x + 3)

What is -2x² + 17x - 3?

500

Expand and simplify (-3x + 1)(x - 2) - (x + 3)²

What is -4x² + x - 11?