Flashcard: Factoring & Solving Quadratics - A

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 zero product property?

Back

If the product of two or more factors is zero, at least one of the factors must be zero.

Front

Solve for x: (x - 3)(x + 6) = 0

Back

x = 3 or x = -6.

Front

What is the standard form of a quadratic equation?

Back

Front

How do you solve a quadratic equation by factoring?

Back

1. Set the equation to zero. 2. Factor the quadratic expression. 3. Use the zero product property to find the values of x.

Front

Factor the expression: 3a^2 + 4a + 1

Back

(3a + 1)(a + 1).

Front

What is a quadratic expression?

Back

Front

What does it mean for an expression to be 'not factorable'?

Back

An expression is 'not factorable' if it cannot be expressed as a product of simpler polynomials with real coefficients.

Front

Factor the expression: 2m^2 + 3m - 9

Back

(m + 3)(2m - 3).

Front

Back

(x^2 - 2)(x + 7).