Solve: a. x3+x2-8x - 12x+2 b. x3-4x2-3x + 18x-3 c. x2 + 4x + 4 d. x2 - 6x + 9

So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

Next, remember that dividing by a number is the same as multiplying by its reciprocal. To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

Now you can rewrite it as:

Next, multiply:

Next, divide:

And lastly, simplify:

The correct option is C. x² + 4x + 4.

b

step-by-step explanation:

b

your answer is the frist one

hop i