Question

4x2 - 3x - 1
find the zeroes and verify. The relationship between zeroes and coefficients

Answer 1

P(x) =4x Square - 3x-1

=4x Square - 4x+x-1

=4x(x-1)+1(x-1)

=(4x+1)(x-1)

X=-1/4, x=1

Let alpha=-1/4 and beta=1

Then,

Sum of the zeros (alpha+beta) =-1/4+1

=-1+4/4

=3/4

- b/a=-(-3/4)

=3/4(i.e)coefficient ofx/coefficientofx^2

Product of zeros (alpha ×beta) =-1/4×1

=-1/4

c/a=-1/4(i.e)constant/coefficient ofx^2