Multiply Binomials and Trinomials

• 9 and -2

• 9 and 2

• -9 and -2

• -9 and 2

Factor 5x² -13x - 6

• Write the binomial factors.

  (5x + 2)(x - 3)

• 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)

What are the factors of 7x² + 16x + 4?

• First find the 2 numbers that multiply to 28 and add to 16.

  a⋅c = 7⋅4 = 28

  b = 16

• Write the 2 binomial factors.

  (7x + 2) (x + 2)

• The numbers are 14 and 2, so use these to break apart 16x.

  7x² + 14x + 2x + 4

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

  7x(x + 2) + 2(x + 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

What 2 numbers should go in the blanks instead of the "bx" term?

• The 2 numbers that multiply to 8 and add to -7, which are 8 and -1.

• The 2 numbers that multiply to -8 and add to -7, which are -8 and -1.

• The 2 numbers that multiply to -8 and add to -7, which are -8 and 1.

Find the product.

• A

• B

• C

• D

Tags

CCSS.HSA.APR.A.1

Find the product.

• 2k³ + 3k² + 9k - 6

• k³ + k² - 7k + 5

• -2k⁶

• k³ + 3k² + 7k + 5

Tags

CCSS.HSA.APR.A.1

Find the product.

• A

• B

• C

• D

Tags

CCSS.HSA.APR.A.1