Question

Use the remainder theorem and the factor theorem to determine whether (b + 4) is a factor of (b3 + 3b2 − b + 12).

Answer 1

If (b+4) is a factor of f(b), then f(-4)=0.

Since f(-4)=0, the remainder is zero, and thus (b+4) is a factor of f(b).

Answer 2

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