To factor the expression , we can follow these steps:
1.Identify the Coefficients: In the quadratic expression :
Here, a = 1,
b = -6
c = 8
2.Find the Product and Sum: We need to find two numbers that:
Multiply to c = 8,
Add up to b = -6.
3.List Factor Pairs of 8: Consider the pairs of factors of 8:
(1, 8)
(2, 4)
Since we need a negative sum, we consider:
(-2, -4)
4.Choose the Correct Pair: The pair -2 and -4 fits our requirements:
They multiply to