Q. 12 C5.0( 3 Votes )

# Let us write the remainder, if the polynomial x^{3} + 4x^{2} + 4x – 3 is divided by x.

Answer :

If the polynomial x^{3} + 4x^{2} + 4x – 3 is divided by x, we need to find the remainder.

Let P(x) = x^{3} + 4x^{2} + 4x – 3 …(i)

Next, we need to find the zero of the linear polynomial, x.

To find zero, equate x to 0.

⇒ x = 0

So, when P(x) is divided by x, it leaves a remainder P(0).

Replace x by 0 in equation (i), we get

P(0) = (0)^{3} + 4(0)^{2} + 4(0) – 3

⇒ P(0) = 0 + 0 + 0 – 3

⇒ P(0) = -3

⇒ Required remainder = -3

Thus, -3 is the answer.

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