# math

posted by Sara

A polynomial function function is defined by the equation p(x)=3x3+ax2+bx+7, where a, bE/. If p(-2)=5 and p(1)=14 then the value of a+b is...

1. Reiny

From p(-2)=5 and p(1)=14
we have two points (-2,5) and (1,14)

so,
3(-8) + a(4) -2b + 7 = 5
4a - 2b = 22 ----> 2a - b = 11

3(1) + a(1) + b(1) + 7 = 14 ---> a + b = 4

3a = 15
a = 5, then b = -1

a+b = 5-1 = 4

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