SOLUTION: p(x)=3x^3+ax-2 In the function above, a is a constant.If the remainder when P(x) is divided by x +1 is 2, what is the value of a? A) -7 B) -5 C) 5 D) 7

Question 1043537: p(x)=3x^3+ax-2
In the function above, a is a constant.If the remainder when P(x) is divided by x +1 is 2, what is the value of a?
A) -7
B) -5
C) 5
D) 7
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
x+1 is equivalent to x-(-1)

x-(-1) is in the form x-k where k = -1

So we'll plug x = -1 into P(x) to get

Replace every x with -1

Now replace P(-1) with 2. Why 2? Because this is the remainder. I'm using the remainder theorem.

Replace P(-1) with 2

Now we solve for 'a'

Add 'a' to both sides

Subtract 2 from both sides

So the final answer is choice A) -7

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