Home
Class 10
MATHS
What must be added to f(x) = x^(4) + 2x^...

What must be added to `f(x) = x^(4) + 2x^(3) - 2x^(2) + x- 1 ` so that the resulting polynomial is a multiple of `x^(2) + 2x - 3` ?

Text Solution

Verified by Experts

The correct Answer is:
x-2 must be added to f(x)
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

What must be added to f(x) = x^(4) + 2x^(3) - 2x^(2) + x- 1 so that the polynomial is exactly divisible by g(x) = x^(2) +2x - 3 ?

What must be (a) subtracted from (b) added to f(x) = 8x^(4) + 14 x^(3) - 2x^(2) + 7 x - 8 so that resulting polynomial is exactly divisible by 4x^(2) + 3x - 2 ?

What must be added to the polynomial P(x)= x^(4)+2x^(3)-2x^(2)+x-1 So that the resulting polynomial is excatly divisible by x^(2)+x-3

What must be subtracted from (x^(3)+5x^(2)+5x+8) so that the resulting polynomial Is excatly divisible by (x^(2)+3x-2) ?

If p (x) = x^(3) - 4x^2 – 2x + 20 the factor for this polynomial is :

We must be added to 2x^(3)+3x^(2)-22x+12 so that the result is exactly divisible by 2x^(2)+5x-14

If f(x)= 2x^(3)+3x^(2)-11x+6 find f(-1)

For which values of 'a' and 'b' are the zeroes of q(x) = x^(3) + 2x^(2) + a also the zeroes of the polynomial p(x) = x^(5) -x^(4) - 4x^(3) + 3x^(2) +3x+ b ? Which zeroes of p(x) are not the zeroes of q(x) ?

If f(x) = 2x^3 + 3x^2 + 11x + 6 , then f(1) is :

Write the degree of the polynomial f(x) = x^(2)- 3x^(3) + 2