TS ICET 2015 Question Paper with Solutions for online practice

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Question : 131 of 200

Marks: +1, -0

If p(x) is a polynomial divisible by (x - 5),then a factor of p(

x^3

- 3) is

x + 2
x +1
x - 1
x - 2

Solution:

Given : p(x) is divisible by

(x–5)

⇒

(x–5)

is a factor of p(x)

⇒p(5)=0

For

x=2,p(2^3–3)=p(5)=0

∴

(x–2)

is a factor of

p(x^3–3)

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