Home
Class 9
MATHS
If f(x) = x^4 - 2 x^3 + 3 x^2 -ax +b is...

If ` f(x) = x^4 - 2 x^3 + 3 x^2 -ax +b` is a polynomial such that when it is divided by x-1 and x+1 the remainders are respectively 5 and 19. Determine the remainder when f(x) is divided by x-2.

Text Solution

Verified by Experts

`f(x)=x^4-2x^3+3x^2-ax+b`
`f(1)=1-2(1)+3(1)-a+b`
`b-a=3-(1)`
`f(-1)=1-2(-1)+3(1)-a(-1)+b` `19=1+2+3+a+b`
`a+b=13-(2)`
adding equation 1 and 2
`2b=16`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divided by x-1 and x+1, the remainders are respectively 5 and 19. Determine the remainder when f(x) is divided by (x-2)dot

If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divided by x-1 and x+1, the remainders are respectively 5 and 19. Determine the remainder when f(x) is divided by (x-2)dot

If f(x)=x^(4)-2x^(3)+3x^(2)-ax+b is a polynomial such that when it is divided by x-1 and x+1, the remainders are respectively 5 and 19. Determine the remainder when f(x) is divided by (x-2) .

If f(x) = x^4 - 2 x^3 + 3 x^2 - ax +b a polynomial such that when it is divided by (x-1) and (x+1); the remainders are 5 and 19 respectively. Determine the remainder when f(x) is divided by (x-2).

If p(x)^(4)-2x^(3)+3x^(2)-ax+b be a polynomial such that when it is divided by x-1 and x+1, remainders are respectively 5 and 19. Determine the remiander when p(x) is divided by x-2.

If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divided by x-1 and x+1 , remainders are 5 and 19 respectively. Determine the remainder when f(x) is divided by x-3.

If f(x)=x^(4)-2x^(3)+3x^(2)-ax+b is a polynomial such that when1it is divided by x-1 and x+1, remainders are 5 and 19 respectively.Determine the remainder when f(x) is divided by x-1.

If p(x)=x^4-3x^2-ax+b is a polynomial such that when it is divided by x-1 and x+1, the remainders are 5 and 19 respectively. Then find the remainder when p(x) is divided by (x-2)

If f(x)=x^(4)-2x^(3)+3x^(2)-ax+b is a polynomial such that when it is divided by (x-1) and (x+1) the remainders are 5 and 19respectively.If f(x) is divided by (x-2) , then remainder is: 0 (b) 5 (c) 10 (d) 2

If f(x)=x^(4)-2x^(3)+3x^(2)-ax+b is a polynomial such that when it is divided by (x-1) and (x+1) the remainders are 5 and 19 respectively.If f(x) is divided by (x-2) , then remainders is: 0 b.5 c.10 d.2