anonymous
  • anonymous
f(x)=x^3+4x^2-5x+6, I need to find the remainder when f(x) is divided by (x-2). How can I do that?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
mathmale
  • mathmale
You could actually do the division (long division). Or you could use synthetic division: from the divisor (x-2) we'd get divisor 2; from the function f(x), we'd get the coefficients 1, 4, -5 and 6. This synthetic division problem then becomes: 2 | 1 4 -5 6 _______2__12_14_____ 1 6 7 20 and 20 is the remainder. I have little idea of where you're coming from, so why not indicate whether you'd prefer to do this problem using long division or using synthetic division; perhaps then I can guide you through more of either procedure.
myininaya
  • myininaya
Or much easier way... Plug 2 in the place of in your f expression
myininaya
  • myininaya
we can write f/(x-2) as f(x)/(x-2)=Q(x)+R/(x-2) or f(x)=Q(x)*(x-2)+R f(2)=Q(2)*(2-2)+R f(2)=Q(2)*(0)+R f(2)=0+R f(2)=R R represents remainder Q represents quotient

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

myininaya
  • myininaya
This is called the remainder theorem
mathmale
  • mathmale
Cool, myininaya!

Looking for something else?

Not the answer you are looking for? Search for more explanations.