Question

find the zeroes of the polynomial 6x -7x -3 and verify the relationship between the zeroes and the coefficient​

Answer 1

Ans:- 6x² - 7x - 3

= 6x² - 9x + 2x - 3

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

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

Now,

=> 2x - 3 = 0

=> 2x = 3

=> x = 3/2

=> 3x + 1 = 0

=> 3x = -1

=> x = -1/3

Now,

=> Sum of zeroes = -(-7)/6

=> 3/2+(-1)/3 = 7/6

=> 7/6 = 7/6

=> Product of zeroes = -3/6

=> 3/2×(-1)/3 = -1/2

=> -1/2 = -1/2

here is your answer

hope it will help you