Solve Quadratics by Factoring

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

Solve using the Zero-Product Property: (x + 4)(x − 3) = 0

Back

x = -4 or x = 3

Tags

CCSS.HSA-REI.B.4B

Front

Solve using the Zero-Product Property: 7x(x − 6) = 0

Back

x = 0 or x = 6

Tags

CCSS.HSA-REI.B.4B

Front

Solve using the Zero-Product Property: (x − 11)(5x + 1) = 0

Back

x = 11 or x = -\frac{1}{5}

Tags

CCSS.HSA-REI.B.4B

Front

Factor and Solve: m^2 − 100 = 0

Back

m = 10 or m = -10

Tags

CCSS.8.EE.A.2

Front

Factor and Solve: a^2 + 2a − 24 = 0

Back

a = -6 or a = 4

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean to factor a quadratic equation?

Back

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

Front

What is a binomial?

Back

A binomial is a polynomial with two terms.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

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

Back

The roots of the equation are the values of x that make the equation equal to zero, and they correspond to the values that make each factor zero.

Tags

CCSS.HSF-IF.C.7C