A9 - Factoring

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 the factored form of x² + 7x - 30?

Back

(x + 10)(x - 3)

Front

What is the factored form of x⁴ + 9x² - 36?

Back

(x² + 12)(x² - 3)

Front

What is the factored form of x² - 400?

Back

(x - 20)(x + 20)

Front

What is the factored form of n² + 5n - 6?

Back

(n - 1)(n + 6)

Front

What is the factored form of x² - 5x?

Back

x(x - 5)

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

What does it mean to factor a difference of squares?

Back

Factoring a difference of squares involves rewriting an expression of the form a² - b² as (a - b)(a + b).

Front

What is the first step in factoring a trinomial?

Back

Identify two numbers that multiply to the constant term and add to the coefficient of the linear term.