For this case we must factor the following expression:
[tex]7x ^ 2 + 35x + 42[/tex]
We take common factor 7:
[tex]7 (x ^ 2 + 5x + 6)[/tex]
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:
[tex]3 + 2 = 5\\3 * 2 = 6[/tex]
Thus, the factored expression is:
[tex]7(x+3)(x+2)[/tex]
ANswer:
[tex]7 (x + 3) (x + 2)[/tex]
Answer:
7(x+2)(x+3)
Step-by-step 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)
