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 Zero-Product Property: (x-11)(5x+1) = 0

Back

x = 11 or x = -1/5

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 and a ≠ 0.

Front

Solve: 4m² - 100 = 0

Back

m = 5 or m = -5

Front

What are the zeros of a quadratic equation?

Back

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

Front

Solve: a² + 2a - 24 = 0

Back

a = -6 or a = 4

Front

What is factoring in relation to quadratics?

Back

Factoring is rewriting a quadratic equation as a product of its linear factors.

Front

Find the zeros of the equation: (x+10)(x-2) = 0

Back

x = -10 or x = 2

Front

Solve: 2x² + 17x + 21 = 0

Back

x = -7 or x = -3/2

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a) for ax² + bx + c = 0.