Solve by Factoring or Taking Square Roots

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 is the first step in solving the equation x² + 6x - 13 = 3?

Back

Make it equal 0 by subtracting 3 on each side.

Front

Solve by factoring: 2x² + 7x + 6 = 0

Back

x = -3/2 and x = -2.

Front

Back

Front

Solve: a² + 2a - 24 = 0

Back

a = -6, a = 4.

Front

What does it mean to solve a quadratic equation by factoring?

Back

It means to express the quadratic equation in the form (px + q)(rx + s) = 0 and then set each factor to zero.

Front

What is the quadratic formula?

Back

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root, given by b² - 4ac, which determines the nature of the roots.

Front

What are the possible outcomes based on the discriminant?

Back

If the discriminant is positive, there are two real roots; if it is zero, there is one real root; if it is negative, there are no real roots.

Front

How do you check if a quadratic equation can be factored?

Back

You can check if it can be factored by finding two numbers that multiply to ac and add to b.