Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.
x² – 15

Question

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.x2 – 15

Philoid · Accepted Answer

To find the zeros of the polynomial let us first solve the polynomial by equating it to zero. Factorizing the given polynomial

x² – 15 = 0

x² = 15

x = √15

When we take square root on both sides, we get two values of a variable

Thus x = +√15 and x = -√15

When we compare the above quadratic equation with the generalized one we get,

ax² + bx + c = 0

∴ a = 1, b = 0, c = -15

Sum of zeroes = -b / a

= 0 / 4

= 0

Product of zeroes = c / a

= -15 / 1

= -15