2 years ago

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

Mathematics

1 answer:

Citrus2011 [14]2 years ago

8 0

Answer:

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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