Question

The zeros of this polynomial:
p(x)=5x^3-5x^2-10x

Answer 1

To find the zeros of the polynomial p(x), we need to solve the equation p(x) = 0.

We can factor out 5x from the polynomial to get:

p(x) = 5x(x^2 - x - 2)

Now we can use the zero product property to find the zeros of the polynomial.

Either 5x = 0 or x^2 - x - 2 = 0

If 5x = 0, then x = 0

If x^2 - x - 2 = 0, then we can factor the quadratic:

(x - 2)(x + 1) = 0

So the zeros of the polynomial are x = 0, x = 2, and x = -1.