111k views
5 votes
For a polynomial P(x), the quotient P(x)/(x-2) has a remainder of 12. What is the value of P(2)? Please explain. Thanks :)

1 Answer

0 votes

Answer:

12

Explanation:

P(x) has infinitely many solutions, but I am going to find the easiest one, which would be a linear equation.

First, notice that x-2 perfectly divides into itself.

Then, if you add 12 to x-2, you will end up with a remainder of 12. Therefore, P(x) would be x-2+12 = x+10.

Now that we know P(x), we can directly plugin 2 to find out P(2):

2+10 = 12

Therefore, P(2) = 12.

User Robbert Dam
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories