Question

What is the completely factored form of this polynomial?

7+14x³168x²

7x²(x+4)(x - 6)

7x³(x+4)(x - 6)

7x³(x-4) (x + 6)

7x²(x-4)(x + 6)

Answer 1

Explanation:

The polynomial provided is not written correctly as it appears to be a sum of three terms without the use of any operators to separate them. However, assuming it is meant to be:

7 + 14x³ + 168x²

We can factor it by first factoring out the greatest common factor, which is 7x²:

7x²(1 + 2x + 24x)

Then, we can factor the trinomial within the parentheses using the quadratic formula or by inspection:

7x²(2x + 1)(6x + 1)

Therefore, the completely factored form of the polynomial is:

7x²(2x + 1)(6x + 1)