SOLUTION: PLEASE HELP ME WITH THIS PROBLEM:
Let f(x)=x^3-8x^2+17x-9. Use the factor theorem to find other solutions to f(x)-f(1)=0, besides x=1.
Algebra.Com
Question 54413This question is from textbook TRIGONOMETRY
: PLEASE HELP ME WITH THIS PROBLEM:
Let f(x)=x^3-8x^2+17x-9. Use the factor theorem to find other solutions to f(x)-f(1)=0, besides x=1.
This question is from textbook TRIGONOMETRY
Found 2 solutions by Nate, stanbon:
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
f(x) = x^3 - 8x^2 + 17x - 9
f(1) = 1 - 8 + 17 - 9 = -7 + 8 = 1
f(x) - f(1) = 0
x^3 - 8x^2 + 17x - 9 - 1 = 0
x^3 - 8x^2 + 17x - 10 = 0
(x - 1)(x^2 - 7x + 10) = 0 use Descarte's Rule of Signs and all that stuff
(x - 1)(x - 5)(x - 2) = 0
x = 1 and x = 5 and x = 2
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1 is not a root of the polynomial you posted.
Cheers,
Stan H.
RELATED QUESTIONS
Let f(x)=x^3-8x^2+17x-9. Use the factor theorem to find other solutions to
f(x)-f(1)=0,... (answered by stanbon)
Let f(x)=x^3-8x^2+17x-9. Use the factor theorem to find other solutions to... (answered by venugopalramana)
Let f(x)= x cube-8x squared+17x-9. Use the factor theorem to find other solutions to... (answered by Nate)
Let f(x)=x^3-8x^2+17x-9. Use the factor theorem to find other solution to f(x)-f(1)=0,... (answered by stanbon)
Missed the following on Chapter quiz; please help studying for exam:
Find a polynomial (answered by stanbon)
LET f(x)=x3-8x2+17x-9. USE THE FACTOR THEOREM TO FIND OTHER SOLUTIONS TO... (answered by stanbon)
I am studying for a college algebra test and have hit a wall with this question:
Let... (answered by oscargut)
I need someone really smart.
Let f(x) =x3 -8x2 +17x -9. use the factor theorem to find (answered by rmromero)
Please help me with this problem . Find the remainder theorem f(×)... (answered by solver91311)