Math ( Polynomial )

posted by .

If the polynomial, x^4 - 6x^3 + 16x^2 - 25x + 10 is divided by another polynomial x^2 - 2x + k, the remainder comes out to be x + a, find k + a, please work the complete solution instead of giving simply an answer.

  • Math ( Polynomial ) -

    by using long division,
    divide x^4-6x^3+16x^2-25x+10with x^2-2x+k,
    then you will find:
    remainder=(-9+2k)x +10-8k+k^2
    comparing with x + a,
    -9+2k=1,k=5
    a=10-8k+k^2,a=-5

    therefore k + a=5-5=0

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. zeros of a polynomial

    polynomial is x^3 - x^2 -11x + 15 If 3 is the zero of the polynomial, when you divide this polynomial with x-3, the remainder has to be 0?
  2. Math--help help help

    1)when a certain polynomial is divided by x - 3, the quotient is x^2+2x-5 and the remainder is -3. what is the polynomial 2) Find each quotient and remainder. Assume the divisor is not equal to zero. a)(2x^2+29x-x^3-40)/(-3+x) b)(6+7x-11x^2-2x^3)/(x+9) …
  3. Math-helpppppp

    1)when a certain polynomial is divided by x - 3, the quotient is x^2+2x-5 and the remainder is -3. what is the polynomial 2) Find each quotient and remainder. Assume the divisor is not equal to zero. a)(2x^2+29x-x^3-40)/(-3+x) b)(6+7x-11x^2-2x^3)/(x+9) …
  4. math

    Each divisor was divided into another polynomial , resulting in the given quotient and remainder. Find the other polynomial the dividend Divisor: x+10,quotient,x^2-6x+10,remainder :-1 I am so confused help is appreciated
  5. math

    When a polynomial is divided by (x+2), the remainder is -19. When the same polynomial is divided by (x-1), the remainder is 2. Determine the remainder when the polynomial is divided by (x-1)(x+2).
  6. algebra

    A polynomial f(x) of degree 3 leaves a remainder of 6 when divided by (x+1) and a remainder of 12 when divided by (x-2). Given that the coefficient of x^3 is 2 and (x+2) is the factor of the polynomial. Show that f(x)= 2x^3+3x^2-5x+2
  7. 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 remainder …
  8. Math

    The function f(x) = x^2 -2x + x^1/2 is: A. A polynomial because it is continuous. B. A polynomial because it is of the form axn. C. Not a polynomial because you are subtracting 2x. D. Not a polynomial because you can’t have any fractional …
  9. adv function

    an unknown polynomial f(x) of degree 32 yields a remainder of 1 when divided by x-1 and a remainder of 3 when divided by x-3, find the remainder when f(x) is divided by (x-1)(x-3). What is the answer?
  10. Help Polynomial

    A polynomial P(x) has remainder R x +S on division by (x-a) (x-b). If a is not equal to b, express the constants R and S in terms of a, b, P(a), P(b). Find the remainder when P(x) is divided by (x-a)^2.

More Similar Questions