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28 August, 20:48

What is 3x2 + 21x + 18 in factored form?

0

A

3 (x + 2) (x + 3)

O

B. 3 (x + 6) (x + 1)

0

C. 3 (x + 3) (x + 2)

D. 3 (x + 1) (x + 2)

+1
Answers (1)
  1. 28 August, 20:51
    0
    B

    Step-by-step explanation:

    Given

    3x² + 21x + 18 ← factor out 3 from each term

    = 3 (x² + 7x + 6) ← factor the quadratic

    Consider the factors of the constant term ( + 6) which sum to give the coefficient of the x - term ( + 7)

    The factors are + 6 and + 1, since

    6 * 1 = 6 and 6 + 1 = 7, thus

    x² + 7x + 6 = (x + 6) (x + 1)

    Thus

    3x² + 21x + 18 = 3 (x + 6) (x + 1) → B
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