Home
Class 10
MATHS
If the polynomial x^4-6x^3+16x^2-25x+10,...

If the polynomial `x^4-6x^3+16x^2-25x+10`, is divided by another polynomial `x^2-2x+k`, the reminder comes out to be `x+a`, find `k` and `a`.

Text Solution

Verified by Experts

The correct Answer is:
a=-5
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( Higher order thinking skills [HOTS])|10 Videos

  • POLYNOMIALS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( Competitive exam questions )|5 Videos

  • POLYNOMIALS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( Short answer [SA] type II questions )|17 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS - HIGHER ORDER THINKING SKILLS (HOTS)|12 Videos

  • PROBABILITY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS HOTS [HIGHER ORDER THINKING SKILLS]-QUESTIONS|24 Videos

Similar Questions

Explore conceptually related problems

If the polynomial x^(4) - 6x^(3) + 16x^(2) - 25 x + 10 is divided by another polynomial x^(2) - 2x + k , the remainder comes out to be x + a, find k and a.

If the polynomial p(x)=x^(2) -x+1 is divided by (x-2) then the remainder is

If 3 is a zero of the polynomial x ^(2) + 2x -a, then find a.

If the polynomial p (x) = x ^2- x + 1 is divided by (x- 2) then the remainder is:

For the polynomial x^(2) -5x + 6 , find the sum of zeroes

Find the zero of the polynomial : x^(2) + 2x + 1.

What are zeros of the the polynomial x^(2) - 2x - 3 ?

If f(x) = 6x^(4) + 8x^(3) + 17x^(2) + 21x + 7 is divided by g(x) = 3x^(2) + 4x +1 , the remainder is ax + b . Find a and b.

If the polynomial f(x)= 3x^(4)+3x^(3)-11x^(2)-5x+10 is completely divisible by 3x^(2)-5 find all its zeroes