Question

2 find the sum and product of the zeroes
the following
6x² - 5x - 6
of the
polynomials​

Answer 1

Step-by-step explanation:

6x²+5x-6=0

by spitting the middle term

so,

6x²+9x-4x-6=0

3x(2x+3)-2(2x+3)=0

3x-2=0 and 2x+3=0

x=2/3 and x= -3/2

alpha=2/3 and beta= -3/2

so, sum of zeroes = 2/3-3/2

=4-6/6

= -2/6

= -1/3

and product of zeroes =2/3×-3/2

= -6/6

= -1

To form polynomial

x²-(sum of zeroes)x+product of zeroes=0

x²-(-1/3)x-1=0

x²+1/3x-1=0 or 3x²+x-3=0

I HOPE THIS WILL HELP YOU MARK ME BRAINLIEST