Algebra Factoring Trinomials

When factoring trinomials with two _____ make sure the ______ contain ____ variables.

Record your question as it relates to factoring a trinomial, when c < 0.

Summarize your learning about Factoring Quadratic Trinomials.

Factor Completely:  3n² - 15n + 18

• (n - 2)(n - 3)

• 3(n + 2)(n + 3)

• (3n - 9)(n - 2)

• 3(n - 3)(n - 2)

To factor a trinomial by grouping, start by...

• multiplying the "a" term times the "c" term and identifying the "b" term

• saying a quick prayer

• multiplying the "b" term times the "c" term and identifying the "a" term

• multiplying the "x" term times the "y" term and identifying the "m" term

When factoring trinomials by grouping, after you multiply the "a" and the "c" term and identify the "b" term, use these 2 values as clues to find:

• 2 numbers that subtract to "a" times "c" and add to "b"

• 2 numbers that divide to "a" times "c" and add to "b"

• 2 numbers that sum to "a" times "c" and subtract to "b"

• 2 numbers that multiply to "a" times "c" and add to "b"

• 9 and -2

• 9 and 2

• -9 and -2

• -9 and 2

Factor completely:
 3x² + 5x - 12

• (3x + 4)(x-3)

• (3x - 4)(x + 3)

• (3x + 3)(x -4)

• (3x - 3)(x + 4)

Factor:
 4h² - 17h + 4

• (2h - 2)²

• 4(h + 4)(h + 1)

• (2h - 2)(2h + 2)

• (h - 4)(4h - 1)

Factor:
 2m² + 3m - 9

• 2(m + 3)(m - 3)

• (2m - 3)²

• (m + 3)(2m - 3)

• (2m + 3)(m - 3)