Question

We want to find the zeros of this polynomial: p(x)=5x^3-5x^2-10xp(x)=5x 3 −5x 2 −10x

Answer 1

Answer:

x = -1, 0, 2

Step-by-step explanation:

p(x) = 5x³ − 5x² − 10x

Factor the greatest common factor:

p(x) = 5x (x² − x − 2)

Now factor the quadratic. You can use the AC method, the quadratic formula, the rational root test, or trial and error.

p(x) = 5x (x − 2) (x + 1)

Finally, set each factor equal to 0 and solve for x.

5x = 0 → x = 0

x − 2 = 0 → x = 2

x + 1 = 0 → x = -1