Answer 1

6x² - 3 - 7x = 6x² - 7x - 3

=6x² -9x + 2x -3

=3x(2x - 3) + 1(2x - 3)

=(2x - 3)(3x + 1)

=`2(x - 3/2)3(x+1/2)`

=`6(x - 3/2)(x+1/3)`

The zeroes of the polynomial are {3/2, -1/3}

Relationship between the zeroes and the coeffieicients of the polynomial

Also sum of the zeroes = `3/2 - 1/3=(9-2)/6 = 7/6`

Also product of the zeroes =`3/2 xx -1/3= -1/2`

Hence Verified