Use the remainder theorem to determine which number is a root of f(x) = 3x3 + 6x2 - 26x - 8. a) -4 b) -2 c) 2 d) 4

Option A.

Step-by-step explanation:

Remainder theorem: If a polynomial P(x) divided by (x-c), then the remainder is P(c). It means if c is a root of P(x), then P(c)=0.

The given polynomial is

Substitute x=-4 in the given polynomial.

Similarly,

Substitute x=-2 in the given polynomial.

Substitute x=2 in the given polynomial.

Substitute x=4 in the given polynomial.

From the given options only at x=-4 the value of function is 0. It means remainder is 0 at x=-4.

-4 is a root of the given polynomial. Therefore the correct option is A.

p

step-by-step explanation: