Math

use the remainder theorem to find the remainder when P(x) = x^4-9x^3-5x^2-3x+4 is divided by x + 3

please help me start this problem I have no idea

  1. 👍
  2. 👎
  3. 👁
  1. did you actually read the Remainder Theorem?

    It says that the remainder when P(x) is divided by (x-a) is P(a). So, you want to just plug in -3 for x.

    P(-3) = (-3)^4-9(-3)^3-5(-3)^2-3(-3)+4
    = 81+243-45+9+4
    ...

    1. 👍
    2. 👎
  2. Thank you

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    use the remainder theorem to find the remainder when P(x)=x^4-9x^3-5x^2-3x+4 is divided by x+3

  2. math

    1.) when the expression 4x^2-3x-8 is divided by x-a, the remainder is 2. find the value of a. 2.) the polynomial 3x^3+mx^2+nx+5 leaves a remainder of 128 when divided by x-3 and a remainder of 4 when divided by x+1. calculate the

  3. Algebra

    A student used synthetic division to divide x^3-x^2-2x by x+1 . This is what the students problem looked like 1_| 1 -1 -2 1 0 ____________ 1 0 -2 answer x remainder -2 a. Describe and correct the error shown. b. Use the Remainder

  4. Maths

    When the Polynomial p(x)=ax^3+5x^2+bx-2 where a and b are constants is divided by 2x^2+3x-2, the remainder is 9x-6. (I) Find the values of a and b (II) Using these values of a and b, factorize p(x) completely (III) Find the

  1. Math

    When 17 is divided by k,where k is a positive integer less than 17,,the remainder is 3.What is the remainder when the sum of the possible values of k is divided by 17?

  2. pre calculus

    Use the remainder theorem to find the remainder when f(x) is divided by x -2. Then use the factor theorem to determine whether x -2 is a factor of f(x) f(x) = 2x^5 + 6x^4 - x^2 - 7x - 12

  3. pre calculus

    12. Use the remainder theorem to find P (-2) for P(x) =x^3+2x^2-x-7. Specifically, give the quotient and the remainder for the associated division and the value of P (-2). Quotient =? Remainder =? P (-2) =?

  4. Algebra

    If p(x) is a polynomial and is divided by (x-k) and a remainder is obtained, then that remainder is p(k). If the quadratic p(x)=x^2-3x+5 gives the same remainder when divided by x+k as it does when divided by x-3k find the value

  1. college algebra

    use the remainder theorem to find the remainder when f(x) is divided by x-2. Then use the factor theorem to determine whether x-2 is a factor of f(x). f(x)=4x^3-10x^2+13x-13

  2. math

    When m is divided by 7, the remainder is 2. What is the remainder when 4m is divided by 7? Please give me an explanation and not just the answer! Thankss:)

  3. college algebra

    use the remainder theorem to find the remainder when f(x) is divided by x+2. then use the factor theorem to determine whether x+2 is a factor of f(x). f(x)=4x^6+36x^3+32 please show work

  4. number theory

    Find the least positive integer that leaves the remainder 3 when divided by 7, remainder 4 when divided by 9, and remainder 8 when divided by 11

You can view more similar questions or ask a new question.