If P(x) = x^3 + ax^2 + bx - 12 is divided by (x+2) then the remainder is 6. We also know that (x+1) is a factor of P(x). Find the values of a and b
- PuzzlingLv 72 months ago
The remainder theorem says if you have a polynomial P(x) and divide it by (x-h), the remainder is P(h).
When you divide P(x) by x+2, the remainder is 6, so:
P(-2) = 6
When you divide P(x) by x+1, the remainder is 0, so:
P(-1) = 0
From that you should be able to create two equations and solve for a and b.
I'd say more, but you are posting anonymously. I'll give you a link to more details on the Remainder Theorem.
- Anonymous2 months ago
I so wanted to answer this question.
However, my answer is "Anonymous" as your post is Anonymous. There is no need for an Anonymous question in this category.