SOLUTION: please help me to solve t^3 -t^2 +t-1 divide t-1 using long division. thank you.

Question 443181: please help me to solve t^3 -t^2 +t-1 divide t-1 using long division. thank you.
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
t-1 | t^3 -t^2 +t -1
How many times does t go into t^3? t^2
(t-1)t^2 = t^3 - t^2
t^3 - t^2 + t -1
-(t^3 - t^2)
=================
0 + t -1
========
How many times does t go into t-1? 1
t-1
-(t-1)
======
0
=======
Remainder of 0, then t-1 divides evenly, and you get t^2 + 1.
Let's check this.
(t-1)(t^2+1) ------by foil ----->t^3 - t^2 +t -1
So yes, we're right.
RELATED QUESTIONS
will you help me to divide this polynomial (t^3-t^2+t-1)divide(t-1) using long division... (answered by swincher4391)

P�1(t)=P1(t)(1-(a+b))+P2(t)c+P3(t)e P�2(t)=P1(t)a+ P2(t)(1-(c+d))+P3(t)f... (answered by Fombitz)

will you please help me with this problem:... (answered by solver91311)

hi my name is rita please help me to solve the polynomial(t^3-t^2+t-1)divide(t-1). i... (answered by stanbon,scott8148)

divide and check your answer please help (t^3-t^2+t-1)divided by(t+1) (answered by stanbon)

please help me. I have been trying to divide the polynomial (t^3-t^2+t-1)divide(t-1). i... (answered by stanbon)

Please help me Solve {{{t/(t-1)}}} + {{{t/(t-9)}}} =1 Please... (answered by mananth)

Please help me solve this equation. t/(t-18)+2/(t^2-26t)+144=1/(t-8) ___t___ +... (answered by Alan3354)

help solve g(t) = t-3/t^2 - 3t + 2 t= -2, t=... (answered by nyc_function)