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

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

Back

True

Front

How do you find the zeros of a function like f(x) = (2x - 6)(x + 1)?

Back

Set each factor to zero: 2x - 6 = 0 and x + 1 = 0, which gives x = 3 and x = -1.

Front

If the answer is ZERO, what must be true for the equation xy=0?

Back

Either x=0 OR y=0.

Front

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

Back

Factors.

Front

Solve and find your x-intercepts: 0=x(x - 6)

Back

x=0 and x=6.

Front

What does it mean if a function has a zero at x = a?

Back

It means that the function intersects the x-axis at the point (a, 0).

Front

What are the x-intercepts of the function f(x) = x^2 - 4?

Back

x = 2 and x = -2.

Front

What is the significance of the x-intercepts in a quadratic function?

Back

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

Front

If a quadratic equation has no real solutions, what can be said about its graph?

Back

The graph does not intersect the x-axis.