Question

Please Help! 50 points! FIRST CORRECT ANSWER GETS BRANLIEST!

Answer 1

Your answer would be C, or $3x(x^{2} -4x+9)$.

To factor this polynomial, take out a greatest common factor from all of the terms.

In this case, we can look at the coefficients of x and x itself separately, and then combine them at the end.

The coefficients of x are 3, -12, and 27.

The greatest common factor between these numbers would be 3, as each of those numbers are divisible by 3.

Now, looking at x, you see $x^{3}, x^{2}, x$.

The greatest common factor between these numbers would just be x, as all of these are divisible by x.

Now, combine these factors. 3 and x are the two greatest common factors, and putting them together, you get 3x.

To finish factoring this, factor out 3x from the polynomial, and combine them.

The polynomial is $3x^{3}-12x^{2} +27x$. To factor 3x out of them, divide each term by 3x.

$3x((3x^{3} / 3x) - (12x^{2} / 3x) + (27x / 3x))$

$3x(x^{2} - 4x + 9)$

That would be your answer, C.

Good luck!

Answer 2

Answer:

3x³-12x²+27x

3x( x² - 4x + 9)

So simply , (c) is the answer