If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Class 9 (Marathi)

Unit 9: Lesson 3

Remainder theorem
Math
Class 9 (Marathi)
Polynomials
Remainder theorem
© 2023 Khan AcademyTerms of usePrivacy PolicyCookie Notice

Remainder theorem

Google Classroom
You might need: Calculator

Problem

P, left parenthesis, x, right parenthesis is a polynomial.
  • P, left parenthesis, x, right parenthesis divided by left parenthesis, x, minus, 9, right parenthesis has a remainder of 1.
  • P, left parenthesis, x, right parenthesis divided by left parenthesis, x, minus, 4, right parenthesis has a remainder of 7.
  • P, left parenthesis, x, right parenthesis divided by left parenthesis, x, plus, 4, right parenthesis has a remainder of 0.
  • P, left parenthesis, x, right parenthesis divided by left parenthesis, x, plus, 9, right parenthesis has a remainder of minus, 5.
Find the following values of P, left parenthesis, x, right parenthesis.
P, left parenthesis, 4, right parenthesis, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
P, left parenthesis, minus, 9, right parenthesis, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
Stuck?
Stuck?