What is the factorization of x^2+8x+15?
3*5=15, and 3+5=8.
To factorize a quadratic expression like x^2+8x+15, we need to find two numbers whose product is equal to the constant term (15) and whose sum is equal to the coefficient of the middle term (8x).
In this case, we are looking for two numbers whose product is 15 and whose sum is 8.
One way to find these numbers is to list all the possible pairs of numbers whose product is 15. In this case, we can see that 3 and 5 are the only numbers that satisfy this condition since 3 * 5 = 15.
Next, we check if the sum of these two numbers is equal to 8. In this case, 3 + 5 = 8, so we have found the appropriate numbers.
Therefore, the factorization of x^2+8x+15 is (x+3)(x+5).