For this case we must factor the following polynomial:
[tex]x ^ 3 + 14x ^ 2 + 49x\\[/tex]
We can take common factor x:
[tex]x(x ^ 2+ 14x + 49)[/tex]
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.
[tex]7*7=49,7+7=14[/tex]
Thus, the expression is factored as:
[tex]x(x + 7)(x +7)[/tex]
Answer:
[tex]x (x + 7) ^ 2[/tex]
