Factoring Review

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax^2 + bx + c, where a, b, and c are constants.

Front

What does it mean to factor a quadratic expression?

Back

To factor a quadratic expression means to express it as a product of two binomials.

Front

Factor the quadratic: x^2 + 4x - 32

Back

(x + 8)(x - 4)

Front

Factor the quadratic: x^2 + 9x - 36

Back

(x + 12)(x - 3)

Front

What is the zero-product property?

Back

The zero-product property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

Factor the quadratic: 3v^2 - 4v - 7

Back

(3v - 7)(v + 1)

Front

Factor the expression: x^2 - 5x

Back

x(x - 5)

Front

Factor the expression: 10x + 15

Back

5(2x + 3)

Front

What is a binomial?

Back

A binomial is a polynomial that consists of exactly two terms.