Solving 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 − 11)(5x + 1) = 0

Back

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

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean to factor a quadratic equation?

Back

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

Front

Factor and Solve: a^2 + 2a − 24 = 0

Back

a = -6, 4

Tags

CCSS.HSA-REI.B.4B

Front

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

Back

x = -4 and x = 3

Tags

CCSS.HSA-REI.B.4B

Front

What are the steps to factor a quadratic equation?

Back

1. Write the equation in standard form. 2. Identify two numbers that multiply to the constant term and add to the linear coefficient. 3. Rewrite the equation as a product of binomials.

Front

Factor and Solve: x^2 + 13x + 12 = 0

Back

x = -12, -1

Tags

CCSS.HSA-REI.B.4B

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax^2 + bx + c = 0.

Front

Solve by taking square roots: k^2 - 6 = 43

Back

k = 7, k = -7

Tags

CCSS.HSA-REI.B.4B

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 and a ≠ 0.