Question

The graph of a quadratic polynomial p(x) passes through the points (−6, 0), (0, −30), (4, −20) and (6, 0). The zeroes of the polynomial are __________.

Options

• −6, 0

• 4, 6

• −30, −20

• −6, 6

Answer 1

The graph of a quadratic polynomial p(x) passes through the points (−6,0), (0, −30), (4, −20) and (6, 0). The zeroes of the polynomial are −6, 6.

Explanation:

To find the zeroes of the quadratic polynomial p(x), we need to determine the values of x for which p(x) = 0. The points (−6, 0) and (6, 0) are where the polynomial intersects the x-axis. Therefore, the zeroes of the polynomial are −6 and 6.