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 ax² + bx + c, where a, b, and c are constants.

Front

What are the factors of x² + 2x - 3?

Back

(x - 1)(x + 3)

Front

What are the factors of x² + 9x - 36?

Back

(x + 12)(x - 3)

Front

What is the first step in factoring a quadratic expression?

Back

Identify the coefficients a, b, and c in the expression ax² + bx + c.

Front

What are the factors of 12x + 9?

Back

3(4x + 3)

Front

What is the purpose of factoring quadratics?

Back

Factoring quadratics helps to simplify expressions and solve quadratic equations by finding the roots.

Front

What are the factors of x² - 10x + 24?

Back

(x - 6)(x - 4)

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

What are the factors of x² + 3x - 40?

Back

(x + 8)(x - 5)