Question

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

Answer 1

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:

$x (x + 7) ^ 2$

Answer 2

The answer is x(x+7)^2