Question

Factor completely 7x^2+35x+42

Answer 1

7(x+2)(x+3)

Explanation:

Factor out a the greatest common factor

The greatest common factor is 7

7x^2+35x+42

=7(x^2+5x+6)

=7(x+2)(x+3)

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Answer 2

For this case we must factor the following expression:

`7x ^ 2 + 35x + 42`

We take common factor 7:

`7 (x ^ 2 + 5x + 6)`

Now, to factor the expression within the parenthesis, we look for two numbers that, when multiplied, result in 6 and when added, result in 5. These numbers are 3 and 2:

`3 + 2 = 5\\3 * 2 = 6`

Thus, the factored expression is:

`7(x+3)(x+2)`

ANswer:

`7 (x + 3) (x + 2)`