Factoring (a=1)

Front

Define 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, where a, b, and c are constants.

Front

What does it mean for a quadratic to be factorable?

Back

A quadratic is factorable if it can be expressed as a product of two binomials.

Front

Factor the expression: n² + 5n - 6.

Back

(n - 1)(n + 6)

Front

Factor the expression: x² + 9x - 36.

Back

(x + 12)(x - 3)

Front

Factor the expression: x² + 5x + 6.

Back

(x + 2)(x + 3)

Front

Factor the expression: x² + 7x - 30.

Back

(x + 10)(x - 3)

Front

Factor the expression: x² - 16x + 48.

Back

(x - 12)(x - 4)

Front

What is the Zero Product Property?

Back

The Zero Product Property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

How do you find the roots of a quadratic equation?

Back

To find the roots, set the equation to zero and solve for x using factoring, completing the square, or the quadratic formula.