TS EAMCET · Maths · Quadratic Equation
The polynomial equation of degree 5 whose roots are the translates of the roots of \(x^5-2 x^4+3 x^3-4 x^2+5 x-6=0\) by -2 is
- A \(x^5-8 x^4+27 x^3+46 x^2+41 x+12=0\)
- B \(x^5+8 x^4+27 x^3+46 x^2+41 x+12=0\)
- C \(x^5+6 x^4+28 x^3+46 x^2+41 x+12=0\)
- D \(x^5+8 x^4+28 x^3+46 x^2+41 x+12=0\)
Answer & Solution
Correct Answer
(B) \(x^5+8 x^4+27 x^3+46 x^2+41 x+12=0\)
Step-by-step Solution
Detailed explanation
The polynomial equation of degree 5 whose roots are the translates of the roots of \(x^5-2 x^4+3 x^3-4 x^2+5 x-6=0\) by -2 is given \(\begin{aligned} & \text { by }(x+2)^5-2(x+2)^4+3(x+2)^3 \\ &-4(x+2)^2+5(x+2)-6=0\end{aligned}\)…
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