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Rajan@2021
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Find the zeroes of the quadratic polynomials and verify the relationship between the zeroes and the coefficients: x²+7x+12

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This is the basic and exam oriented question from polynomials in which we have given a equation x²+7x+12=0 and we have to find the zeroes of the quadratic polynomials and also asked to verify the relationship between the zeroes and the coefficients

Kindly give me a detailed solution of this question

RS Aggarwal, Class 10, chapter 2A, question no 1

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  1. Let f(x)=+7x+12
    f(x)=+4x+3x+12
    f(x)=x(x+4)+3(x+4)
    f(X)=(x+4)(x+3)

    To find the zeros , Let f(x)=0  , then
    either (x+4)=0 or  (x+3)=0

    x=4 or x=3

    again

    sum of zeros =(43)=7=−7/1=b​/a=(-coefficient icient of x)/(coefficient of x)product of zeros =4×3=12=112=ac=coefficient of x2constant term

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