Factoring

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is the factored form of x² - 2x - 15?

Back

(x - 5)(x + 3)

Front

What is the factored form of x² + 9x - 36?

Back

(x + 12)(x - 3)

Front

What is the factored form of x² + 7x + 12?

Back

(x + 3)(x + 4)

Front

What is the factored form of x² - 16?

Back

(x - 4)(x + 4) (Difference of squares)

Front

What is the factored form of x² - 16x + 48?

Back

(x - 12)(x - 4)

Front

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c.

Front

What does it mean for an expression to be prime?

Back

An expression is prime if it cannot be factored into simpler expressions with integer coefficients.

Front

What is the zero-product property?

Back

If the product of two factors is zero, then at least one of the factors must be zero.

Front

How do you factor a trinomial of the form x² + bx + c?

Back

Look for two numbers that multiply to c and add to b.