Question

. A QUARATIC POLYNOMIAL,WHOSE ZEROES ARE -3 AND 4 IS,

Answer 1

- 3 and 4 are the zeroes of the polynomial p(x) = ax2 + bx + c

∴ sum of the zeroes = - (coefficient of x) ÷ coefficient of x2

- 3 + 4 = - b/a

1 = - b/a

b = - 1 and a = 1

Product of the zeroes = constant term ÷ coefficient of x2

c = (- 3)/4

⇒ c = 12

Putting the values of a, b and c in the polynomial p(x) = ax2 + bx + c

∴ The polynomial is x2 - x - 12

= x2/2 - x/2 - 6 (dividing by any constant will not change the polynomial)