Factoring Trinomials of the form ax2+bx+c

Factoring Trinomials of the form ax²+bx+c

By Ms. Serrano Salamanca

• ​Objective:

  • Students will be able to factor a trinomial in the form ax²+bx+c into two binomial factors using either the GFC method or the "slide n' divide" method.

​Slide n' Divide

1. "Slide" a to the end of the trinomial and multiply by c.

2. Factor this new basic trinomial.

3. Divide both factors by the value you "slid" over in step 1.

4. Reduce fractions and then "move" any denominators up next to the variable. Distribute to check.

Example 1:

​2X²+5X+3

Example 2:

​5m² - 17m + 6

Example 3:

​6y² - 5y - 4

Example 4:

​12c² + 11c - 5

Math Response

3x² - 11x + 10

Type answer here

Correct Answer: \left(x-2\right)\left(3x-5\right)

Deg^°

Rad

Math Response

8y² - 10y + 3

Type answer here

Correct Answer: \left(4y-3\right)\left(2y-1\right)

Deg^°

Rad