Solving Equations by Factoring

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to factor a quadratic equation?

Back

Factoring a quadratic equation means rewriting it as a product of two binomials, which can help in finding its solutions.

Front

What are the solutions of the equation x² + 12x + 35 = 0?

Back

x = -5 or x = -7.

Front

How do you convert x² - 9x + 20 to factored form?

Back

The factored form is (x - 4)(x - 5).

Front

What are the solutions of the equation x² + 5x + 6 = 0?

Back

x = -3 or x = -2.

Front

What are the solutions of the equation x² - 5x + 6 = 0?

Back

x = 3 or x = 2.

Front

What is the factored form of x² - 25?

Back

The factored form is (x + 5)(x - 5).

Front

What is the Zero Product Property?

Back

The Zero Product Property states that if a × b = 0, then either a = 0 or b = 0.

Front

How do you solve a quadratic equation by factoring?

Back

1. Factor the quadratic into two binomials. 2. Set each binomial equal to zero. 3. Solve for x.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as (x - 4) or (x + 5).