Factoring Quadratics

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, 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 is the standard form of a quadratic equation?

Back

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

Front

What are the roots of a quadratic equation?

Back

The roots of a quadratic equation are the values of x that make the equation equal to zero.

Front

What is the relationship between the coefficients and the roots of a quadratic equation?

Back

For a quadratic equation ax² + bx + c = 0, the sum of the roots is -b/a and the product of the roots is c/a.

Front

How do you factor the quadratic expression x² - 10x + 24?

Back

The expression factors to (x - 6)(x - 4).

Front

How do you factor the quadratic expression x² - 10x - 24?

Back

The expression factors to (x - 12)(x + 2).

Front

How do you factor the quadratic expression x² + 9x + 20?

Back

The expression factors to (x + 4)(x + 5).

Front

How do you factor the quadratic expression x² + 11x + 24?

Back

The expression factors to (x + 8)(x + 3).

Front

How do you factor the quadratic expression x² - 14x + 24?

Back

The expression factors to (x - 12)(x - 2).