Factoring Quadratics

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 does it mean to factor a quadratic expression?

Back

To factor a quadratic expression means to express it as a product of two binomials.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

Front

What is the factored form of x² - 5x + 6?

Back

(x - 2)(x - 3)

Front

How do you factor the expression 18b² - 9b³?

Back

9b²(2 - b) or 9b²(2 - 9b) depending on the context.

Front

What is the first step in factoring a quadratic expression?

Back

The first step is to look for a common factor in all terms.

Front

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

Back

(x + 3)(x + 4)

Front

What is the difference of squares?

Back

The difference of squares is a special factoring case where a² - b² = (a + b)(a - b).

Front

How do you factor the expression 24c⁵ - 12c³?

Back

12c³(2c² - 1) is the factored form.