Use the remainder theorem to determine whether x + 2 is a factor of f(x) = 3x3 - 2x2 - 6x - 2

(x + 2) is not a factor of f(x).

Step-by-step explanation:

The given function is

Remainder theorem: If a polynomial P(x) is divided by (x-c), then the remainder is defined by f(c).

If x + 2 is a factor of f(x), then the remainder is 0 when we divide the polynomial by (x+2).

On comparing both sides we get

If f(-2) is 0, then by remainder theorem (x+2) is a factor of f(x).

Substitute x=-2 in the given polynomial.

Therefore, (x + 2) is not a factor of f(x).

the first question mark is 6 and the second question mark is 26 (the square root)

step-by-step explanation: