Determine whether - 2 is a zero (root) of the function:

f (x) = 2x^3 + x^2 - 10x - 12

Yes

or

No

The answer to your question is No

Step-by-step explanation:

Data

function f (x) = 2x³ + x² - 10x - 12

To know if a number is a root of a function, evaluate the function on that number, if the result is zero, then that number is a root.

Substitution

f (-2) = 2 (-2) ³ + (-2) ² - 10 (-2) - 12

Simplification

f (-2) = 2 (-8) + 4 + 20 - 12

f (-2) = - 16 + 4 + 20 - 12

f (-2) = - 28 + 24

f (-2) = - 4

-2 is not a root that the function.

No

Step-by-step explanation:

Using factor theorem

If the remainder is 0, it is a root

2 (-2) ³ + x (-2) ² - 10 (-2) - 12

-4

Since the remainder is non-zero, it is not a root