Factoring x² + bx + c

Overview

Goal. Factor a trinomial x² + bx + c into a product of two binomials by finding two numbers whose product is c and whose sum is b.

Factoring (definition). Writing a polynomial as a product of simpler polynomials; it undoes multiplying.

Factor pairs of c that sum to b, and the sign rules.

Lesson Notes

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Notes page

Lesson Video

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Interactive Activity

Goal. Factor x² + bx + c into two binomials by finding the pair of numbers that multiplies to c and adds to b — then check every factoring by expanding it back.

Factoring (definition). Writing a polynomial as a product of simpler polynomials. It is the reverse of multiplying.

Factoring x² + bx + c — Interactive ActivityOpen ›