{{ dragState.val }}
Tap to zero

The Zero Product Property

If two things multiply to zero, what must be true? Tap a factor to set it to zero.

×
=
{{ (s1.leftZero || s1.rightZero) ? '0' : '?' }}

Since the first factor is 0, the whole product is 0! Reset and try the other.

Since the second factor is 0, the whole product is 0!

Either factor being 0 makes the equation true!

Drag factors

The Number Puzzle

To factor , find two numbers that multiply to {{ s2.prod }} and add to {{ s2.sum }}.

Multiply to
{{ s2.prod }}
{{ s2.sum }}
Add to
{{ s2.slot1 }}
{{ s2.slot2 }}
{{ val }}
Slide to match

Difference of Squares

Adjust the slider to factor the equation.

Target Equation
{{ s3.val }} {{ s3.val }}
110
Expands to
Set the roots

Find the Solutions

Use the Zero Product Property to find the values of x that make the equation true.

Therefore
x =
{{ s4.v1 }}
OR
x =
{{ s4.v2 }}
🎉

Mastered!

You've successfully factored quadratics and solved for x using the Zero Product Property.