A polynomial p is graphed. What could be the equation of p?

p(x) = x³ - ½x² - 5x

Step-by-step explanation:

From the polynomial graph, we can see that the graph curve intersects the x-axis at x = -2, 0 and 2½ or 5/2

And points at which the curve intersects the x-axis means y is zero at that point.

Thus, equation of p is;

p(x) = (x - (-2))(x - 0)(x - 5/2)

p(x) = (x + 2)(x)(x - 5/2)

Expanding, we have;

p(x) = x(x² + 2x - (5/2)x - 5)

p(x) = x(x² - ½x - 5)

p(x) = x³ - ½x² - 5x

1 1/5

step-by-step explanation:

so, converting firstly the mixed fractions to improper fractions and then "adding".