Factoring Review

Front

What is factoring in mathematics?

Back

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

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions without leaving a remainder.

Front

Factor the expression: 10x + 15

Back

5(2x + 3)

Front

Factor the expression: x² - 5x

Back

x(x - 5)

Front

Factor completely: y² - 7y + 12

Back

(y - 3)(y - 4)

Front

What is the first step in factoring a polynomial?

Back

Identify the GCF of all the terms in the polynomial.

Front

How do you factor a quadratic expression in the form ax² + bx + c?

Back

Look for two numbers that multiply to ac and add to b, then rewrite the expression using these numbers.

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial that contains exactly three terms.

Front

Factor the expression: 5x² + 20x

Back

5x(x + 4)