Question

Find the zeroes of the quadratic polynomial 3x square - x + 4 and verify the relationship between th
zeroes and the coefficient.​

Answer 1

Answer:

Let f(x) = 3x2 ˗ x ˗ 4 3x2 ˗ 4x + 3x ˗ 4 = x(3x ˗ 4) + 1 (3x ˗ 4) = (3x ˗ 4) (x + 1) To find the zeroes, set f(x) = 0 (3x ˗ 4) = 0 or (x + 1) = 0 x = 4/3 or x=-1 So, the zeroes of f(x) are 4/3 and x=-1 Again, Sum of zeroes = 4/3 + (-1) = 1/3 = -b/a = (-Coefficient of x)/(Cofficient of x2) Product of zeroes = 4/3 + (-1) = -4/3 = c/a = Constant term / Coefficient of x2Read more on Sarthaks.com - https://www.sarthaks.com/694826/find-zeros-quadratic-polynomials-4and-verify-relationship-between-zeros-coefficients