Solving Quadratics by factoring

Front

What is the first step in solving a quadratic equation by factoring?

Back

Set each binomial factor equal to zero.

Front

What are the solutions to the equation (x - 3)(x + 6) = 0?

Back

{ 3, -6 }

Front

How do you factor the quadratic equation x^2 + 15x + 44 = 0?

Back

The factors are (x + 11)(x + 4) = 0.

Front

What are the solutions to the equation x^2 - 9x + 20 = 0?

Back

x = 4 and x = 5.

Front

What are the solutions to the equation x^2 + 9x + 20 = 0?

Back

x = -4 and x = -5.

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax^2 + 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 expressing it as a product of its linear factors.

Front

What is the zero product property?

Back

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

Front

How can you check if your solutions to a quadratic equation are correct?

Back

Substitute the solutions back into the original equation to see if they satisfy it.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0.