anonymous
  • anonymous
Use synthetic division to simplify. (x^3 + x^2-10x+8) / (x-2)
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.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
it is really really hard to write synthetic division here, but i can try
anonymous
  • anonymous
list the coefficients of \(x^3+x^2-10x+8\) which are 1 1 -10 8
anonymous
  • anonymous
okay, I am following you.

Looking for something else?

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

More answers

anonymous
  • anonymous
then since you are dividing by \(x-2\) put a 2 on the side (not a -2) 1 1 -10 8 2 ________________
anonymous
  • anonymous
Okay.
anonymous
  • anonymous
now your answer will be on the bottom line bring down the 1 1 1 -10 8 2 ________________ 1
anonymous
  • anonymous
then 1 times 2 is 2 1 1 -10 8 2 2 ________________ 1
anonymous
  • anonymous
\(1+2=3\) 1 1 -10 8 2 2 ________________ 1 3
anonymous
  • anonymous
then \(3\times 2=6\) 1 1 -10 8 2 2 6 ________________ 1 3
anonymous
  • anonymous
Oh, okay. So you just multiply it by two and then add it in this problem?
anonymous
  • anonymous
yeah you multiply what you get on the bottom row by what is on the side
anonymous
  • anonymous
then add see if you can continue
anonymous
  • anonymous
Okay. I think I get it. Is the answer x=0?
anonymous
  • anonymous
the answer is not \(x=\text{anything}\) you are dividing a polynomial of degree 3 by a polynomial of degree 1 the answer is a polynomial of degree 2, with possibly a remainder
anonymous
  • anonymous
the remainder in this case is zero, you are correct about that the polynomial of degree two you read of from the coefficients on the bottom row
anonymous
  • anonymous
Okay, so is it going to be something like x^3+3x^2-4x
anonymous
  • anonymous
no no careful
anonymous
  • anonymous
what is the bottom row?
anonymous
  • anonymous
1 3 -4 0
anonymous
  • anonymous
ok now a polyomial of degree 3 divided by a polynomial of degree 1 gives a polynomial of degree 2
anonymous
  • anonymous
the coefficients are \(1,3,-4\)
anonymous
  • anonymous
0 is the remainder
anonymous
  • anonymous
Oh, okay. So is it x^2+3x-4
anonymous
  • anonymous
yes it is
anonymous
  • anonymous
now i have a question
anonymous
  • anonymous
What is your question?
anonymous
  • anonymous
what kind of harp do you play?
anonymous
  • anonymous
I play a lever harp. It's brand is a Salvi-Anna. Do you play an instrument?
anonymous
  • anonymous
no not for a long time just curious, so few people play a harp
anonymous
  • anonymous
Yeah, not many people play the harp. Thank you for you help with my question!
anonymous
  • anonymous
yw

Looking for something else?

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