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Question

If one of the zero of polynomial is three more than other and sum of the zeroes is 5 then the polynomial is ____

A
x2+5x+4
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B
x25x+4
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C
x25x4
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D
2x25x+4
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Solution

The correct option is B x25x+4
Given, Let zeroes be α & β

Sum of the zeroes, α+β=5
One of the zero is 3 more than other
α=β+3
β+3+β=52β=53β=1α=3+1=4

Polynomial is given by, k[x2(α+β)x+αβ]k[x25x+4×1]k[x25x+4]x25x+4 [k=1]

The polynomial is x25x+4

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