Question

The polynomial p(w) = 3w^3 - 20w^2 + 37w - 20 has a known factor of (w-4). Rewrite p(w) as a product of linear factors.

Answer 1

(w - 4)(w - 1)(3w - 5)

Explanation:

Using Synthetic division to find the quotient on dividing p(w) by (w - 4)

4 | 3 - 20 37 - 20

12 - 32 20

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3 - 8 5 0 ← remainder = 0

quotient = 3w² - 8w + 5 = (3w - 5)(w - 1)

p(w) = (w - 4)(w - 1)(3w - 5)