## Quant Question Of The Day: 81

# Polynomials

**Find the remainder when 3x ^{5} + 2x^{4} – 3x^{3} – x^{2} + 2x + 2 is divided by x² – 1.**

**a) 2x + 3**

**b) 2x – 2**

**c) 4x + 6**

**d) 3
e) None**

**Find the remainder when 3x ^{5} + 2x^{4} – 3x^{3} – x^{2} + 2x + 2 is divided by x² – 1.**

**a) 2x + 3**

**b) 2x – 2**

**c) 4x + 6**

**d) 3
e) None**

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Ans :-(e) by using remainder theorem

How can one use remainder theorem when 1/-1 is not a factor of the dividend

a) 2x+3

a) 2x+3

a) 2x+3

How can one use remainder theorem when 1/-1 is not a factor of the dividend.

Replace x^2 by 1

So, 3x^5 will become 3x

2x^4 will become 2

-3x^3 will become -3x

-x^2 will become -1

2x + 2 will remain as it is

Add them to get 2x + 3

A) 2x+3