Anonymous asked in Science & MathematicsMathematics · 2 months ago

Polynomial Functions!?

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

2 Answers

  • 2 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.

  • Anonymous
    2 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.

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