Question

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 value of a and b.

Answer 1

Answer:

Explanation: Given that f (x) = x4 - 2x3 + 3x2 - ax + b divided by x - 1 and x + 1 leaves remainder 5 and 19. Therefore f (1) and f (-1) are zeroes of the polynomial f (x) = x4 - 2x3 + 3x2 - ax + b. It is also given that f (x) = x4 - 2x3 + 3x2 - ax + b is divided by (x - 3).

Step-by-step explanation:

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Answer 2

we will use factor theorem,, that is,, on putting a particular value of x in the function,, we get value equal to the remainder.