Factor:
(x^2+4x-5)=( ) ( )
factor are 5,-1
This is not the lower term (x+5)(x-1)
The lower term must look like (2x+....)(....)
lowest term....
To factor the quadratic equation x^2 + 4x - 5, we need to find two binomials whose product is equal to the equation.
Step 1: Begin by finding the factors of the quadratic coefficient, which is 1:
Factors of 1: 1, -1
Step 2: Then, find the factors of the constant term, which is -5:
Factors of -5: 5, -5, 1, -1
Step 3: Now, we need to determine which combination of these factors adds up to the coefficient of the x term, which is 4:
The combination that adds up is (5, -1), because 5 + (-1) = 4.
Step 4: Rewrite the equation using the combination from Step 3:
x^2 + 4x - 5 = (x + 5)(x - 1)
Therefore, the factored form of the quadratic equation x^2 + 4x - 5 is (x + 5)(x - 1).