To factor the expression , we can follow these steps:
1.Identify the Coefficients: In the quadratic expression :
Here, a = 1,
b = -8,
c = 15.
2.Find the Product and Sum: We need to find two numbers that:
Multiply to c = 15,
Add up to b = -8.
3.List Factor Pairs of 15: Consider the pairs of factors of 15:
(1, 15)
(3, 5)
Since we need a negative sum, we consider:
(-3, -5)
4.Choose the Correct Pair: The pair -3 and -5 fits our requirements:
They multiply to