Q. 43.5( 20 Votes )

# Find the remainder when 9x^{3} – 3x^{2} + x – 5 is divided by

Answer :

Let p(x) = 9x^{3} – 3x^{2} + x – 5

As we know by Remainder Theorem,

If a polynomial p(x) is divided by a linear polynomial (x – a) then, the remainder is p(a)

⇒ Remainder of p(x) when divided by is

⇒ Remainder of 9x^{3} – 3x^{2} + x – 5 when divided by is –3

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