Question

find the zero's of quadratic polynomial and verify the realtion between zero's 2x² + 5x - 12​

Answer 1

Step-by-step explanation:

2x2+5x-12

2x2+8x-3x-12

=2x(x+4)-3(x+4)

=(x+4)(2x-3)

=x=-4,x=3/2

Relationship between zeroes and coefficient

sum of the roots= alpha+beeta= -b/a

=-4+3/2=-5/2

=-8+3/2=-5/2

=-5/2=-5/2

product of the zeroes=alpha×beeta=c/a

=-4×3/2=-12/2

=-12/2=-6

=-6=-6