Question

find the zero of the quadratic polynomial 6x square - 3 - 7 xand verify the relation between the zero and the cofficient of the polynomial

Answer 1

6x²-7x-3
= 6x²-9x+2x-3
= 3x(2x-3)+1(2x-3)
= (3x+1)(2x-3)
therefore zero of polynomial would be
3x+1=0
3x=-1
x= -1/3
And
2x-3=0
x=3/2
{ the relationship between the zero and coefficient is
when a factor is balanced with 0 the value of variable is the 0 of polynomial

Answer 2

=6x²-7x-3
=6x²+2x-9x-3
=2x(3x+1)-3(3x+1)
=(2x-3)(3x+1)
2x-3=0
2x=3
x=3/2
or
3x+1=0
3x=-1
x=-1/3
sum of zeroes = 3/2+(-1/3) =7/6 = -b/a
product of zeroes =- 3/2×(-1/3) = - 3/6 or -1/2 = c/a