SOLUTION: Hello, Can you please teach me how to Factor the Polynomial for this problem: 15(m - 1)^2 - 22(m - 1) - 5 Thank you

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello, Can you please teach me how to Factor the Polynomial for this problem: 15(m - 1)^2 - 22(m - 1) - 5 Thank you       Log On


   

Question 260765: Hello,
Can you please teach me how to Factor the Polynomial for this problem:
15(m - 1)^2 - 22(m - 1) - 5
Thank you


Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First substitute.
Let u=m-1, then
15%28m+-+1%29%5E2+-+22%28m+-+1%29+-+5=15u%5E2-22u-5
+15%28m+-+1%29%5E2+-+22%28m+-+1%29+-+5=%285u%2B1%29%283u-5%29
.
.
.
5u%2B1=0
5%28m-1%29%2B1=0
5m-5%2B1=0
5m-4=0
m=4%2F5
.
.
.
3u-5=0
3%28m-1%29-5=0
3m-3-5=0
3m=8
m=8%2F3