Otilio Guerra

Lv 4

# Polynomial Questions?

I was wondering if anybody could please help me this without using a graphing calculator or software.

### 2 Answers

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- Wayne DeguManLv 72 months agoFavorite Answer
If the point (2, -3) is on the graph then P(2) = -3

so, 2³ + k(2)² + 5 = -3

Then, 8 + 4k + 5 = -3

=> 4k = -16

so, k = -4

Hence, P(x) = x³ - 4x² + 5

As point (4, a) is on the graph then P(4) = a

so, 4³ - 4(4)² + 5 = a

i.e. 64 - 64 + 5 = a

Hence, a = 5

:)>

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