Question

Please answer

i dont really care if steps or not
just please give letter of multiply choice
it you dont know then dont write anything

Answer 1

The correct answer is C.

Step-by-step explanation

The given polynomial has equation

`p(b) = {b}^(3) + 3 {b}^(2) - b + 12`

According to the Remainnder Theorem, if (b+4) is a factor of p(b) = b³+3b²-b+12 then

`p( - 4) = 0`

We now substitute b=-4 to check.

`p( - 4) = {( - 4)}^(3) + 3 {( - 4)}^(2) - ( - 4) + 12`

`p( - 4) = - 64+ 48 + 4 + 12`

Simplify:

`p( - 4) = - 16 + 16 = 0`

Since p(-4) is zero, (b+4) is a factor of p(b) = b³+3b²-b+12.

The correct choice is C.