Factoring A=1 Algebra

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.

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

• 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)

• Write the 2 binomial factors.

  (7x + 2) (x + 2)

What is one of the factors of:

• (x-7)

• (x-3)

• (x+7)

• (x+2)

Factor:  n² - 2n + 1

• (n + 1)(n - 1)

• (n + 1)²

• prime

• (n - 1)²

• both positive

• both negative

• one positive and one negative, and the bigger factor will be negative

• one positive and one negative, and the bigger factor will be positive

Factor.
t² + 10t + 16

• (t + 2)(t + 8)

• (t + 4)(t + 6)

• (t + 2)(t + 14)

• (t + 4)(t + 4)

Factor.
n² - 15n + 56

• (n + 7)(n - 8)

• (n - 8)(n - 7)

• (n + 2)(n - 28)

• (n - 2)(n - 28)

Factor.
q² - 8q + 12

• (q - 3)(q - 4)

• (q + 3)(q - 4)

• (q - 2)(q - 6)

• (q + 2)(q - 6)

Factor.
w² - 7w - 8

• (w - 4)(w - 2)

• (w - 4)(w + 2)

• (w - 8)(w - 1)

• (w - 8)(w + 1)

Factor
x² -16x + 48

• (x - 12)(x - 4)

• (x + 6)(x - 8)

• (x + 12)(x - 4)

• (x -16)(x - 3)