x²+12x+35
(x+7)(x+5)
The given expression is x²+12x+35.
We can factorize this expression by splitting the middle term and finding two numbers whose sum is 12 and whose product is 35.
We can write:
x²+7x+5x+35
Now, we can factorize the first two terms together and the last two terms together:
x(x+7)+5(x+7)
Now, we can factor out the common factor of (x+7) to get the final factorization:
(x+7)(x+5)
Therefore, the factorization of the given expression is:
x²+12x+35 = (x+7)(x+5)
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