Factoring and Solving Quadratics

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

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

Back

x = 11 or x = -1

Front

Solve: x^2 - 9x + 20 = 0

Back

x = 4 and x = 5

Front

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

Back

x = 0 and x = 6

Front

Factor: x^2 – 16

Back

(x + 4)(x – 4)

Front

What are the factors of x^2 + 3x - 40?

Back

(x + 8)(x - 5)

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components (factors) that, when multiplied together, give the original expression.

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

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.

Front

What does it mean to solve a quadratic equation?

Back

To solve a quadratic equation means to find the values of x that make the equation true.