Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Use synthetic division to find the result when x4−10x3+3x2+7x−47 is divided by x+2.

Write your answer in the form q(x)+r(x)d(x), where q(x) is the quotient, r(x) is the remainder, and d(x) is the divisor.

Sagot :

sqdancefan

Answer:

  p(x) = x^3 -12x^2 +27x -47 +47/(x+2)

Step-by-step explanation:

The synthetic division is shown and explained in the attachment.

The quotient is ...

  q(x) = x^3 -12x^2 +27x -47

The remainder is ...

  r(x) = 47

Then the division can be written as ...

  [tex](x^4-10x^3+3x^2+7x-47)\div(x+2)=\boxed{x^3-12x^2+27x-47+\dfrac{47}{x+2}}[/tex]

View image sqdancefan
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.