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 k² + 7k + 10?

Back

(k + 2)(k + 5)

Front

What is the factored form of a² - a - 12?

Back

(a - 4)(a + 3)

Front

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

Back

(x + 3)(x + 4)

Front

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

Back

(x - 5)(x + 3)

Front

What is the factored form of 3x² + 5x - 12?

Back

(3x - 4)(x + 3)

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 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.

Front

What is the difference of squares?

Back

The difference of squares is a² - b² = (a - b)(a + b).