Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

shubhamsrg Group Title

Let p(x) be a polynomial such that when divided by (x−1) it leaves the remainder 2 and when divided by (x − 2) it leaves the remainder 1. What is the remainder when it is divided by (x − 1)(x − 2)?

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 4

    when we divide by a second degree polynomial the remainder will generally be linear.so the division statement becomes\[P(x)=(x-1)(x-2)q(x)+ax+b\]does that help?

    • 2 years ago
  2. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 4

    u just need to evaluate \(a\) and \(b\) regarding given conditions for problem

    • 2 years ago
  3. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    using the remainder thrm P(1) = 2 ; and P(2) = 1 P(x) = -x+3 is my idea

    • 2 years ago
  4. shubhamsrg Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @mukushla can we write like that ? a and b do not change in both eqns ?

    • 2 years ago
  5. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 4

    what do u mean by both equations?

    • 2 years ago
  6. shubhamsrg Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    using p(1) and p(2),we get 2 eqns.. well is it the ggeneralised form? how?

    • 2 years ago
  7. sauravshakya Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I think that will give remainder in terms of x

    • 2 years ago
  8. shubhamsrg Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    hmm,,remainder shouldn't be some numerical ?

    • 2 years ago
  9. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 4

    when we divide by a linear polynomial the remainder will be a number. when we divide by a second degree polynomial the remainder will be a linear poly. and ...

    • 2 years ago
  10. shubhamsrg Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ahh i see...yep..got it..

    • 2 years ago
  11. shubhamsrg Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so we have p(1) = 2 = a + b and p(2) = 1 = 2a + b is that right ?

    • 2 years ago
  12. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 4

    yes thats right.

    • 2 years ago
  13. shubhamsrg Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so rem is -x + 3 ! ahh..thank you sir..

    • 2 years ago
  14. mukushla Group Title
    Best Response
    You've already chosen the best response.
    Medals 4

    np :)

    • 2 years ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.