Question

Which of the following is the correct factorization of the polynomial below?
x3 + 14x2 + 49x

Answer 1

The answer is x(x+7)^2

Answer 2

For this case we must factor the following polynomial:

`x ^ 3 + 14x ^ 2 + 49x\\`

We can take common factor x:

`x(x ^ 2+ 14x + 49)`

To factor the expression within the parenthesis, we must find two numbers that when multiplied give 49 and when added together, 14 are obtained. These are: 7 and 7.

`7*7=49,7+7=14`

Thus, the expression is factored as:

`x(x + 7)(x +7)`

Answer:

`x (x + 7) ^ 2`