Solve Quadratic Equations by Factoring

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

What does it mean to factor a quadratic equation?

Back

Factoring a quadratic equation means rewriting it as a product of two binomials.

Front

What is the standard form of a quadratic equation?

Back

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

Front

What are the roots of a quadratic equation?

Back

The roots are the values of x that make the equation equal to zero.

Front

How do you find the roots of a quadratic equation by factoring?

Back

Set the equation to zero, factor it, and then set each factor equal to zero.

Front

What is the relationship between the coefficients and the roots of a quadratic equation?

Back

The sum of the roots is -b/a and the product of the roots is c/a.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms.

Front

What does it mean for a quadratic to be factorable?

Back

A quadratic is factorable if it can be expressed as a product of two binomials with rational coefficients.

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 do you check if your factored form is correct?

Back

Multiply the factors back together to see if you get the original quadratic equation.