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

In the equation (x + 2)(x - 3) = 0, what are (x + 2) and (x - 3) called?

Back

Factors

Front

Solve for X: (x-5)(x+6)=0

Back

{5, -6}

Front

What must be true if the product xy = 0?

Back

Either x = 0 OR y = 0.

Front

True or false: The solution, root, x-intercept, and zero of a problem are all the same thing?

Back

True

Front

What are the x-intercepts of the equation 0 = x(x - 6)?

Back

x = 0 and x = 6.

Front

If a quadratic equation has factors (x - a)(x - b) = 0, what are the solutions for x?

Back

x = a and x = b.

Front

What does it mean if a quadratic equation has no real solutions?

Back

The factors do not intersect the x-axis, meaning the product is never zero.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set the function equal to zero and solve for x.

Front

What is the significance of the x-intercepts in a graph?

Back

They represent the points where the graph crosses the x-axis.