1. Questions

the remainder theorem - Please Help!!

i'm really not sure how to do this question.

(3x+2k)^3+(4x-7)^2 has a remainder of 33 when divided by x-3. find k.

i tried to expand the expression, but i don't get a polynomial, so how do i apply the remainder theorem? i would really appreciate it if anyone could tell me how to solve this question! thanks!

  1. 👍
  2. 👎
  3. 👁
hayley

  1. You do not have to expand it,
    the remainder theorem would say here that
    f(3) = 33, so
    (9+2k)^3 + (12-7)^2 = 33
    (9+2k)^3 = 8 , take the cube roo
    9+2k = 2
    2k = -7
    k = -7/2

    1. 👍
    2. 👎
    Reiny

  2. 8 DIVIDED BY 200

    1. 👍
    2. 👎
    MESMARIAH

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. 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

  3. 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

  4. math

    Consider the function f(x)=x^3+4x^2+kx-4. The remainder from f(x)/(x+2) is twice the remainder from f(x) / (x-2). Determine the value of k

  1. 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) =?

  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. 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

  4. math

    Each dividend was divided by another polynomial, resulting in the given quotient and remainder. Find the divisor Divided:5x^3+x^2+3 ,quotient:5x^2-14x+42, remainder:-123

  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. Alegebra

    N is the number of buttons in a sewing box. N is more than 40 but less than 80. When N is divided by 5 , the remainder is 2. When N is divided by 7, the remainder is 4. What is the value of N?

  3. math

    The polynomial P(x)=x3−4x2−5x−42 can be rewritten as P(x)=(x−6)(x2+2x+7). What can you conclude about P(x)? There may be more than one correct answer. Select all correct answers. When P(x) is divided by x−6, the

  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.