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victus00 [196]
3 years ago
6

Express the polynomial as a product of linear factors.

Mathematics
1 answer:
inessss [21]3 years ago
4 0

Answer:

C

Step-by-step explanation:

Given

3x³ + 12x² + 3x - 18

The sum of the coefficients = 3 + 12 + 3 - 18 = 0

Thus x = 1 is a root and (x - 1) is a factor

Divide 3x³ + 12x² + 3x - 18 by (x - 1) using Synthetic division

 1 |  3   12   3   - 18

       ↓   3   15     18  

    -----------------------------

       3   15   18     0 ← remainder

Quotient = 3x² + 15x + 18 = 3(x² + 5x + 6)

Thus

3x³ + 12x² + 3x - 18 = 3(x - 1)(x² + 5x + 6) = 3(x - 1(x + 3)(x + 2) → C

   

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