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If the polynomial $p (x)$ is divided by $(x + 3),$ then the remainder will be

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p (− 2)

p (2)

p (− 3)

p (2)

answer is C.

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Detailed Solution

The given polynomials are

p (x)

and

g x = x + 3 .

We know by the Remainder theorem that, if a linear polynomial

g (x) = x − k

divides a polynomial

p (x)

of degree one or greater than one, then the remainder will be equal to

p (k) .

Equate

x + 3 = 0.

⇒ x = − 3

Therefore, on dividing

p (x)

g (x) = (x + 3),

the remainder will be equal to

p − 3 .

Thus, if the polynomial

p (x)

is divided by

then the remainder will be

p − 3 .

Hence, option (3) is correct.

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