SOLUTION: How would I take T(x) = x^4+2x^3 and find the factors or x-intercepts in order to be able to graph it? Thank you

Algebra ->  Polygons -> SOLUTION: How would I take T(x) = x^4+2x^3 and find the factors or x-intercepts in order to be able to graph it? Thank you      Log On


   

Question 951473: How would I take T(x) = x^4+2x^3 and find the factors or x-intercepts in order to be able to graph it?
Thank you
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
+T%28x%29+=+x%5E4%2B2x%5E3 ...to find the factors or x-intercepts, first set +T%28x%29+=0
++x%5E4%2B2x%5E3=0
+x%5E3%28+x%2B2%29=0
x-intercepts:
if +x%5E3=0, then we have three same solutions x=0
if +%28+x%2B2%29=0 then x=-2
to graph it, make a table:
x|T%28x%29
-3|25......+T%28-3%29+=+%28-3%29%5E4%2B2%28-3%29%5E3=81-56=25
-2|0
-1|-1......+T%28-1%29+=+%28-1%29%5E4%2B2%28-1%29%5E3=1-2=-1
0|0
1|3......+T%281%29+=+1%5E4%2B2%281%29%5E3=1%2B2=3
2|32......+T%282%29+=+2%5E4%2B2%282%29%5E3=16%2B16=32
plot all points and draw a line through