Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Use the remainder theorem and synthetic division
to find the value of f(3) if f(x) = x^3 - 6x^2 + 13x - 11

VIEW IMAGE

Show the steps of the synthetic division!

Use The Remainder Theorem And Synthetic Division To Find The Value Of F3 If Fx X3 6x2 13x 11 VIEW IMAGE Show The Steps Of The Synthetic Division class=

Sagot :

sqdancefan

Answer:

  f(3) = 1

Step-by-step explanation:

The value of f(3) is told by the remainder theorem to be the remainder from division of f(x) by (x -3). That division is shown in the attachment. The remainder is 1, so ...

  f(3) = 1

__

The number at upper left in the synthetic division table is the value of x for which we are evaluating f(x).

_____

Additional comment

When the polynomial is written in Horner Form:

  f(x) = ((x -6)x +13)x -11

the coefficient of x at each point in the evaluation is the same as the number on the bottom row of the synthetic division. The result of the evaluation is the same as the remainder from the division.

View image sqdancefan
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.