Explain how you can check polynomial division.

kjukks1234531 2022-09-18 Answered
Explain how you can check polynomial division.
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Isaac Molina
Answered 2022-09-19 Author has 8 answers
The result of polynomial division can be checked by finding the product of the quotient and divisor and then adding the remainder to the product. The division is correct if adding the remainder and product gives the dividend.
For example, to check the result of x 2 + 3 x + 1 x 2 = x + 5 + 11 x 2 multiplying the quotient of x+5 and divisior of x-2 gives:
( x + 5 ) ( x 2 ) = x 2 2 x + 5 x 10
= x 2 + 3 x 10
Adding the remainder of 11 to x 2 + 3 x 10 then gives ( x 2 + 3 x 10 ) + 11 = x 2 + 3 x + 1 which is equal to the dividend.
Result:
Find the product of the quotient and divisor and then add the remainder to verify it equals the dividend.

We have step-by-step solutions for your answer!

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions