SOLUTION: Is (x-2) a factor of f(x) = -6x^3 + 11x + 3x - 2? Justify your answer.
Algebra.Com
Question 920318: Is (x-2) a factor of f(x) = -6x^3 + 11x + 3x - 2? Justify your answer.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Remainder Theorem: Given some polynomial f(x), if f(p) = 0, then x - p is a factor of f(x)
I'm assuming you were given f(x) = -6x^3 + 11x^2 + 3x - 2
Plug in x = 2
f(x) = -6x^3 + 11x^2 + 3x - 2
f(2) = -6(2)^3 + 11(2)^2 + 3(2) - 2
f(2) = 0
Because f(2) = 0, this means x-2 is a factor of f(x)
Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html
Thanks,
Jim
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