anonymous
  • anonymous
Find the remainder when f(x) = −2x3 + 24x2 − 58x + 40 is divided by x − 9.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
I attempted to do this problem using the Remainder Theorem and came up with an incorrect answer. Please show work so I can better understand why I got the problem wrong.
freckles
  • freckles
the remainder theorem says we can just evaluate f(9)
anonymous
  • anonymous
Exactly! I inputted that value, but I came up with an incorrect answer. Did I make an arithmetic error?

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freckles
  • freckles
perhaps I don't know
anonymous
  • anonymous
I came up with -396 when evaluating the function for the value of 9.
anonymous
  • anonymous
@freckles is there anyway you could evaluate the function, for f(9), and see what you come up with?
anonymous
  • anonymous
Thanks for your previous help with the concepts of the Theorems as well, it really helped!
freckles
  • freckles
\[f(9)=-2(9)^3+24(9)^2-58(9)+40 \\ f(9)=-2(729)+24(81)-58(9)+40 \\ f(9)=-1458+1944-522+50 \\ f(9)=486-522+50 \\ f(9)=-522+486+50 \\ f(9)=-522+536 \\ f(9)=536-522=14\] is this what you did ? I did it without a calculator so you might want to check
freckles
  • freckles
oops I put 50 instead of 40
freckles
  • freckles
just take away 10
anonymous
  • anonymous
I see my egregious error quite clearly now. For some reason my calculator came up with 261 instead of 729 for 9^3, I must've inputted it incorrectly.
anonymous
  • anonymous
By subtracting 10 from the final output, your answer is correct. Thanks again for all your help!
freckles
  • freckles
yeah I accidentally put 50 on that 3rd line and kept it as 50 that is why my answer was 10 units more than what it should have been

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