Will give 50 i have the answer but i just want to make sure it's right! can you show work?

show your process for finding the remainder for the quotient
(4x^3-20x^2+18x-12) ÷(x-4)

We could do long division for polynomials, but it's easier to use the remainder theorem when we're dividing by a monic first degree expression.

The remainder when we divide polynomial f(x) by x-a is f(a)

f(4) = 4(4)^3-20(4)^2+18(4)-12 = 256 - 320 + 72 - 12 = -4

Remainder -4

The correct option is 2.

Step-by-step explanation:

The given statement is "three times the sum of a number and 4".

We need write the mathematical expression for the given statement.

Let the unknown number be x.

The sign " + " is used for addition and sum.

The sign " × " is used for multiplication, times and product.

Sum of a number and 4 =

Three times the sum of a number and 4 =

The required expression is 3(x+4). Therefore, the correct option is 2.