XAT 2013Quantitative AbilityQuadratic EquationsHARD+1 / −0.25

Consider a function $f(x) = x^4 + x^3 + x^2 + x + 1$ , where x is a positive integer greater than 1. What will be the remainder if $f(x^5)$ is divided by f(x)?

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XAT 2013Quantitative AbilityQuadratic EquationsHARD+1 / −0.25

Select an option to reveal the answer and explanation

Practice the full paper

Attempt XAT 2013 Question Paper with real exam interface and instant grading.

Consider a function f(x)=x4+x3+x2+x+1f(x) = x^4 + x^3 + x^2 + x + 1f(x)=x4+x3+x2+x+1, where x is a positive integer greater than 1. What will be the remainder if f(x5)f(x^5)f(x5) is divided by f(x)?