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