Question

Find the zeroes of the quadratic polynomial 3x^2 - 6 -7x and verify relationship between the zeroes and the coefficients.

Answer 1

Answer:

3x^2- 6- 7x

on comparing with ax^2+bx+c we get

3x^2-7x-6

a=3

b=-7

c=-6

zeroes of polynomial are

sum of zeroes=-b/a

= -(-7/3)

=7/3

product of zeroes=c/a

=-6/3

Verifying relationship

alpha×beta=c/a

alpha+beta=-b/a

Answer 2

Answer:

3x²-6-7x

3x²-7x-6

Step-by-step explanation:

3x²-7x-6

3x²-(9-2)x-6

3x²-9x+2x-6

3x(x-3)+2(x-3)

(3x+2)(x-3)

3x+2=0

x=2/3

x-3=0

x=-3

alpha+beta=-b/a

2/3+-3/1=-7/3

2+(-9)/3=-7/3

-7/3=-7/3

alpha X beta =-c/a

2/3 X (-3)=-6/3

-6/3=-6/3