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Zeros of quadratic polynomial f(x)=6x-3,verify relationship …

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Zeros of quadratic polynomial f(x)=6x-3,verify relationship between zeros and coefficients
  • 1 answers

Sia ? 5 years, 8 months ago

f(x)=6x2-3
To find zeros
6x2-3=0
6x2=3

x=±12

Henc the zeros f(x) are:

α=12 and β=12
Sum of the zeroes = α+β=12+(12)=0 and,  Coefficient of x Coefficient of x2=06=0
 Sum of the zeros = Coefficient of x coefficient of x2
Also, Product of the zeroes = αβ=12×12=12, and  Constant term  Coefficient of x2=36=12
 Product of the zeros = Constant term  Coefficient of x2

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