Question

Use the factor theorem to find all real zeroes for the given polynomial function and one factor Enter your answer as a comma separated list

Answer 1

Given:

`2x^3+5x^2-4x-10`

(2x+5) is one of the factor.

`\begin{gathered} 2x^3+5x^2-4x-10=(2x+5)(2x^2-4) \\ =2(2x+5)(x^2-2) \end{gathered}`

By taking the factors equal to zero then we get the values of x.

Therefore, the zeros of the polynomial are

`-(5)/(2),\sqrt[]{2},-\sqrt[]{2}`