How do you factor #x^2 + 5x + 6#?
See a solution process below:
Because the constant is a positive and the coefficient for the
Now we need to determine the factors which multiply to 6 and also add to 5:
Factorize of polynomial
Using prime factorization of
since the coefficient of
and then we try adding the two numbers to get the coefficient of
so it will be
if you have a polynomial function
the solution set will be
and using it like this
so for your question
and by using it in the formula
The key realization is that we need to think of two numbers that add up to the middle term, and have a product of the middle term.
What two numbers sum up to
After some trial and error, we arrive at
These will be our factors. So we can write our expression as
Hope this helps!