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Question

Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients :

x2+3x10

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Solution

We have p(x)=x2+3x10=0(x+5)(x2)=0

(x+5)=0 or(x2)=0

x=5 orx=2

Zeroes of p(x)=x2+3x10 are α=5 and β=2

Now, the sum of zeroes =α+β=5+2=3

Sum of zeros ba=(3)1=3

Product of zeros =α×β=5×2=10

Product of zeros ca=101=10

Hence proved that,

um of zeros =(Coefficient of x)Coefficient of x2

Product of zeros =Constant termCoefficient of x2


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