To factor the expression , we can follow these steps:
1.Identify the Coefficients: In the quadratic expression :
Here, a = 1,
b = 3,
c = -10.
2.Find the Product and Sum: We need to find two numbers that:
Multiply to c = -10,
Add up to b = 3.
3.List Factor Pairs of -10: Consider the pairs of factors of -10:
(1, -10)
(-1, 10)
(2, -5)
(-2, 5)
4.Choose the Correct Pair: The pair 5 and -2 fits our requirements:
They multiply to