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 Lesson Plan for Grade 9th Grade

Name: Factoring Quadratic Equations
Author: Insta~Lesson

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

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.