Question

If divisor of f(x) is x + a then find the remainder.
i) f(x) = x² - a²
ii) f(x)= 2x - a
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Answer 1

Given

• f(X) = X+a
• it is a divisor

To find

The remainder

i) f(x) = x² - a²

ii) f(x)= 2x - a

Solution

From remainder theorem

X+a =0

=>X= -a

1. f(X)= x² - a²

f(-a)= a - a²

=0

• The remainder is 0

2).f(x)= 2x - a

f(-a) = -2a-3a

= -5a

• The remainder be -5a

Hence, values are 0,-5a