If x+1 is a factor of x3+a, then write the value of a.

Let, f (x) = x3 + a(x +1) is a factor of f(x), so f (-1) = 0f (-1) =0(-1)3 + a = 0-1 + a = 0a = 1

Q5 of 96 Page 6

If x+1 is a factor of x³+a, then write the value of a.

Let, f (x) = x³ + a

(x +1) is a factor of f(x), so f (-1) = 0

f (-1) =0

(-1)³ + a = 0

-1 + a = 0

a = 1

Write the remainder when the polynomial f(x) =x³+x²-3x+2 is divided by x+1.

Find the remainder when x³+4x²+4x-3 is divided by x.

If f(x) =x⁴-2x³+3x²-ax-b when divided by x-1, the remainder is 6, then find the value of a + b

If x-2 is factor of x²-3ax-2a, then a =