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.

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA-REI.B.4B

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.