Factoring Quadratics

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions without leaving a remainder.

Front

How do you find the GCF of 22x^3 and 11x^2?

Back

The GCF of 22x^3 and 11x^2 is 11x^2.

Front

What is the factored form of x^2 + 12x + 20?

Back

The factored form is (x + 2)(x + 10).

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression, look for two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

What is the factored form of x^2 + 11x + 24?

Back

The factored form is (x + 8)(x + 3).

Front

What is the first step in factoring 2c^2 + 2c - 84?

Back

The first step is to factor out the greatest common factor, which is 2.

Front

What is the factored form of 2(c^2 + c - 42)?

Back

The factored form is 2(c + 7)(c - 6).

Front

What is the factored form of x^2 - 14x + 24?

Back

The factored form is (x - 12)(x - 2).

Front

What does it mean to factor a quadratic expression?

Back

Factoring a quadratic expression means rewriting it as a product of its linear factors.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c, where a, b, and c are constants.