Question

Please help with this pre algebra question

Answer 1

(2) / ((x + 5)(x - 1))

&

(3x) / ((x - 6)(x - 1))

Explanation:

The question is asking you to factor the denominator. In this case, you cannot simplify either of the numerators. You can factor the denominator by asking yourself the question: which two numbers multiply to equal the final number in the quadratic and add to equal the middle number in the quadratic?

1.) 2 / (x² + 4x - 5)

-----> Which two numbers multiply to -5 and add to 4? These numbers are 5 and -1. This makes the factors (x + 5) and (x - 1). The fully simplified answer: (2) / ((x + 5)(x - 1))

2.) 3x / (x² - 7x + 6)

------> Which two numbers multiply to 6 and add to -7? These numbers are -6 and -1. This makes the factors (x - 6) and (x - 1). The fully simplified answer: (3x) / ((x - 6)(x - 1))

*Please let me know if I misinterpreted the question or you need further clarification <3