When the polynomial 2x^3+ 3X^2+ 3x-a is divided by x^2-1 , the remainder is 5x+b , then the value of (a+b) is

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Q. When the polynomial

2 x^{3} + 3 x^{2} + 3 x - a

is divided by

x^{2} - 1,

then the value of (a + b) is

Q. If the polynomial

p (x) = x^{4} - 3 x^{2} + 5 x + 3

is divided by

x^{2} - 2

the remainder is

a x + b

what will be the quotient? Find also the value of

a

and

b

The polynomials $(2 x^{3} + x^{2} - a x + 2)$ and $(2 x^{3} - 3 x^{2} - 3 x + a)$ when divided by (x -2) leave the same remainder. Find the value of a.

Q. The polynomial

f (x) = x^{4} - 2 x^{3} + 3 x^{2} - a x + b

when divided by

(x - 1)

and

(x + 1)

leaves the remainders

5

and

19

respectively . Find the value of

a

and

b

. Hence , find the remainder when

f (x)

is divided by

(x - 3)

The polynomial x⁴- 2x³+ 3x²- ax + b when divided by x +1 and x -1 give remainder 19 and 5 respectively . Find the remainder when the polynomial is divided by x -3

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