Question

Find the zeroes of the polynomial f(x) = 4x² + 8x and verify the relationship between the zeroes and its coefficients.

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Answer 1

$\huge\fbox{\dag Answer \dag}$

Given polynomial can be written as

4x² + 8x=4x(x+2)=0

Hence the roots are x=0,x=−2

The sum of roots are=$\frac{-b}{a}$=-2

and the product of roots are=$\frac{c}{a}$=0