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Rajan@2021
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If 3 and -3 are two zeroes of the polynomial (x^4+x³-11x²-9x+18), find all zeroes of the given polynomial.

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Sir please give me a detailed solution of this question as it is taken from polynomials chapter in which we have a polynomial (x^4+x³-11x²-9x+18) and 3 and -3 are two zeroes of the given  polynomial and we have to find the all other zeroes.

Kindly give me a detailed solution of this question

RS Aggarwal, Class 10, chapter 2B, question no 14

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1 Answer

  1. Given : 3 and -3 are the zeroes of the polynomial (x+3) and (x3) are factors of f(x), and consequently (x3)(x+3)=(9) is factor of f(x)

    Divide f(x) by (9) we get

    Put f(x)=0
    (+x2)(9)=0
    (x1)(x+2)(x3)(x+3)=0

    x=1 or x=2 or x=3 or x=3
    hence all the zeros of the given polynomial are 1, 2, 3 and 3.

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