SOLUTION: List the zeroes in increasing order. f(x) = 121x^3 - 121x^2 - 26x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: List the zeroes in increasing order. f(x) = 121x^3 - 121x^2 - 26x       Log On


   

Question 910916: List the zeroes in increasing order.
f(x) = 121x^3 - 121x^2 - 26x
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+121x%5E3+-+121x%5E2+-+26x+

f%28x%29+=+x%28121x%5E2+-+121x+-+26%29+ ...write -121x as -143x%2B22x
f%28x%29+=+x%28121x%5E2-143x%2B22x-26%29+ group
f%28x%29+=+x%28%28121x%5E2-143x%29%2B%2822x-26%29%29+
f%28x%29+=+x%2811x%2811x-13%29%2B2%2811x-13%29%29+
f%28x%29+=+x%2811x%2B2%29%2811x-13%29+
zeros:
+x=0+
+11x%2B2=0+ => 11x=-2%7D%3E%7B%7B%7Bx=-2%2F11=-0.1818181818181818=-0.18
+11x-13=0+ => 11x=13%7D%3E%7B%7B%7Bx=13%2F11=1.181818181818182=1.18

in increasing order: x=-0.18,x=0,x=1.18

+graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+5%2C+121x%5E3+-+121x%5E2+-+26x%29+