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

How do you apply the Zero Product Property to solve equations?

Back

Set each factor equal to zero and solve for the variable.

Front

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

Back

n = 4 or n = -2.

Front

Solve for x: (x - 8/3)(x - 3) = 0

Back

x = 8/3 or x = 3.

Front

Solve for m: m(m + 7) = 0

Back

m = 0 or m = -7.

Front

Solve for a: (a + 3)(a + 8) = 0

Back

a = -3 or a = -8.

Front

Solve for p: p(p - 1/5) = 0

Back

p = 0 or p = 1/5.

Front

What does it mean if a quadratic equation has two solutions?

Back

It means the parabola intersects the x-axis at two points.

Front

What does it mean if a quadratic equation has one solution?

Back

It means the parabola touches the x-axis at one point (the vertex).

Front

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

Back

It means the parabola does not intersect the x-axis.