If a polynomial $p (x)$ is divided by $x - a$ then remainder is

p (0)

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p (a)

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p (- a)

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p (a) - f (0)

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Solution

The correct option is C $p (a)$
p(x)=(x-a)q(x)+r(x)
where q(x) is the quotient when f(x) is divided by x-a and r(x)
The Remainder Theorem says that we can restate the polynomial in terms of the divisor, and then evaluate the polynomial
x=a
hence putting it we get
p(a)=0*q(a)+r(a)
p(a)=r(a)
hence the remainder is p(a)

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If a polynomial p(x) is divided by x−a then remainder is

If a polynomial $p (x)$ is divided by $x - a$ then remainder is