Factoring and Zero Product Property

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 for x: x^2 + 5x + 6 = 0

Back

x = -2 and x = -3

Front

Factor the expression: x^2 - 9

Back

(x + 3)(x - 3)

Front

What are the steps to factor a quadratic expression?

Back

1. Write in standard form. 2. Find two numbers that multiply to the constant term and add to the linear coefficient. 3. Rewrite the expression using these numbers.

Front

Solve for x: (x - 4)(x + 2) = 0

Back

x = 4 and x = -2

Front

What is a quadratic equation?

Back

An equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

Factor the expression: 3x^2 + 12x

Back

3x(x + 4)

Front

What is the relationship between the roots and the factors of a polynomial?

Back

The roots of a polynomial are the values of x that make the polynomial equal to zero, and they correspond to the factors of the polynomial.

Front

Solve for x: 2x^2 - 8 = 0

Back

x = 2 and x = -2

Front

What is the factored form of x^2 + 7x + 10?

Back

(x + 2)(x + 5)