Factoring Trinomials by Grouping

Factor the trinomial. (Change variable to x with entering your answer)

Mathematical Equivalence

ON

Factor the trinomial.

Mathematical Equivalence

ON

Factor the trinomial. (Change variable to x with entering your answer)

Mathematical Equivalence

ON

Factor the trinomial. (Change variable to x with entering your answer)

Mathematical Equivalence

ON

Factor the trinomial.

Mathematical Equivalence

ON

Factor:
 x² - 15x + 50

• (x - 10)(x - 15)

• (x - 10)(x - 5)

• (x - 25)²

• (x - 5)²

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"

Factor 5x² -13x - 6

• First, find 2 numbers that multiply to -30 and add to -13.

  a⋅c = 5⋅-6 = -30

  b = -13

• The 2 numbers are -15 and 2, so use these to break up -13x.

  5x² -15x + 2x + 6

• Make 2 groups and factor out the GCF from each group.

  5x( x - 3) + 2(x - 3)

• Write the binomial factors.

  (5x + 2)(x - 3)

What should go in the 3rd step?

• 4x(x +2) -1(x+2)

• 4x(x - 2) -1(x-2)

• 4x(x - 2) +1(x-2)

• x(4x - 2) -1(4x-2)

What should go in the final step?

• (4x + 1) ( x + 2)

• 
• (4x - 1) ( x - 2)

• (4x + 1) ( x -2)