What two things must be true about the numbers you are looking for when factoring a quadratic in the form x² + bx + c?

The two numbers must multiply to give c and add to give b.

Factoring Quadratic Equations

Grade 9th Grade · Math · 30 min· Carnegie Learning

I can factor quadratic equations in the form ax² + bx + c.

Professor Dave Explains · 9:37

Solving Quadratics by Factoring

3 key concepts

1
The standard form for a quadratic equation is Ax² + Bx + C = 0, where A, B, and C are integers.
2
To factor a quadratic in the form x² + Bx + C, find two numbers that multiply to C and add to B.
3
If (x + M)(x + N) = 0, then the solutions are x = -M or x = -N, because anything times zero is zero.

3 questions · Multiple choice & Short answer

Quick comprehension check

“Factor the quadratic equation x² + 5x + 6. Show all steps.”

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