Question

If a polynomial f(x) is divided by (x+a) and leaves the reminder is a and b are constants then

Answer 1

f(-a) is the remainder when f(x) is divided by (x+a). This can be obtained by remainder theorem for polynomials.

What is the required remainder?

Given that f(x) is divided by (x+a) and leaves a reminder

Using the remainder theorem for polynomials we get,

f(x) = (x+a)·g(x) + r, where g(x) is the quotient and r is the remainder.

Put x = -a, then

f(-a) = (-a+a)·g(-a) + r

f(-a) = (0)·g(x) + r

f(-a) = r

f(-a) is the remainder.

Hence f(-a) is the remainder when f(x) is divided by (x+a).

Learn more about remainder theorem here:

brainly.com/question/1550437

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