SOLUTION: Find all zero of f(x), given that 5 is a zero. f(x)=x3-10x2+31x-30

Algebra ->  Test  -> Lessons -> SOLUTION: Find all zero of f(x), given that 5 is a zero. f(x)=x3-10x2+31x-30      Log On


   

Question 630023: Find all zero of f(x), given that 5 is a zero. f(x)=x3-10x2+31x-30
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

f(x)=x^3-10x^2+31x-30

Find all zero of f(x), given that 5 is a zero.

using Synthetic Division

5	1	-10	31	-30

 	 	  5	-25	30

 	1	-5	6	0

 +x%5E2+-+5x+%2B+6+=+%28x-3%29%28x-2%29

f(x)=x%5E3-10x%5E2%2B31x-30+=+%28x-5%29%28x-3%29%28x-2%29

zeros are 2,3,5