Question

6. Find the zeroes of the following quadratic polynomial and verify the relationship between
the zeroes and the co-efficients 2x2 – 3 + 5x.
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Answer 1

Answer:

First split the middle term and it will be

2x^2+6x-x+3

Take common

=2x(x+3)-1(x+3)

=(2x-1) (x+3)

x=1/2 or x= -3

Verification:-

let alpha and beta be the zeroes of the polynomial

alpha=1/2 and beta=-3

alpha+beta=-b/a

1/2+(-3)=-5/2

-6+1/2=-5/2

-5/2=RHS

and aplha×beta=c/a

1/2×-3=-3/2

-3/2= RHS

hence, verified