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 standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.

Front

What does it mean to factor a quadratic expression completely?

Back

Factoring a quadratic expression completely means expressing it as a product of linear factors, if possible.

Front

What is the factored form of x² - 6x + 8?

Back

(x - 2)(x - 4)

Front

What is the factored form of x² - 13x + 40?

Back

(x - 5)(x - 8)

Front

What is the factored form of 3x² - 8x + 4?

Back

(3x - 2)(x - 2)

Front

What is the factored form of x² + 16x + 64?

Back

(x + 8)(x + 8)

Front

What is the factored form of -2x² - 22x - 60?

Back

-2(x + 5)(x + 6)

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern that states a² - b² = (a - b)(a + b).

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression that can be factored into the square of a binomial, such as a² + 2ab + b² = (a + b)².