Question

1. Find the zeroes of the quadratic polynomial and verify the relationship between the zeroes and the coefficients;(E) a) 6x2- 7x - 3 b)x2 + x -2

Answer 1

a)6x^2-7x-3
6x^2-9x+2x-3
3x(2x-3)(2x-3)
(3x+1)(2x-3)
3x+1=0. 2x-3=0
x=-1/3. x=3/2
Sum of zeroes
=-1/3+3/2
=(-2+9)/6
=7/6—————(1)
Sum of zeroes
-b/a
=-7/6—————-(2)
From 1 and 2
Sum of zeroes=-b/a

Product of zeroes
=-1/3*3/2
=-3/6
=-1/2————(3)
Product of zeroes
c/a
=-3/6
=-1/2————-(4)
From 3 and 4
Product of zeroes =c/a