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CBSE Class 10 Answered

If a+c+e=0 & b+d=0,then find the zeroes of the polynomial a x to the power of 4 plus b x cubed plus c x squared plus d x plus e
Asked by agraharianiruddha | 11 Dec, 2018, 06:59: PM
answered-by-expert Expert Answer
Let f(x) = ax4 + bx3 + cx2 + dx + e
we are given that sum of coefficients of even power and constant term is zero. i.e., a+c+e = 0
we are given that sum of coefficients of odd power is zero. i.e., b+d = 0
both the conditions are possible if x = -1
Hence zero of the polynomial is x = -1
Answered by Thiyagarajan K | 12 Dec, 2018, 12:04: PM

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