Zero Product Property

Front

What is the Zero Product Property?

Back

If the product of two numbers is zero, then at least one of the numbers must be zero.

Front

What does it mean to factor out the GCF?

Back

To factor out the Greatest Common Factor (GCF) means to find the largest factor that divides all terms in an expression and rewrite the expression as a product.

Front

What is the GCF of 6x^5y^4 and 24x^6y^2?

Back

The GCF is 6x^3y^2.

Front

What is the first step in solving (x + 2)(x - 3) = 0?

Back

Set each binomial factor equal to zero.

Front

What are the zeros of the equation z(z - 15) = 0?

Back

The zeros are z = 0 and z = 15.

Front

What is the Zero Exponent Property?

Back

Any non-zero number raised to the power of zero equals one.

Front

What is the Commutative Property?

Back

The Commutative Property states that the order of addition or multiplication does not change the result.

Front

What is the difference between a factor and a product?

Back

A factor is a number that divides another number, while a product is the result of multiplying two or more numbers.

Front

How do you solve the equation x^2 - 4 = 0?

Back

Factor it as (x - 2)(x + 2) = 0 and set each factor to zero.

Front

What does it mean to solve for x?

Back

To solve for x means to find the value of x that makes the equation true.