Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Find the remainder when f(x) = 4x3 − 20x − 50 is divided by x − 3.

Sagot :

naǫ
Use the remainder theorem: when you divide a polynomial f(x) by (x-a), the remainder is f(a).

[tex](4x^3-20x-50) \div (x-3) \\ \\ a=3 \\ \\ r=f(3)=4 \times 3^3-20 \times 3-50=4 \times 27-60-50=108-110=-2[/tex]

The remainder is -2.
carlosego

For this case what we have to take into account in the polynomial division is the following:

1) In the product of two variables, if we have the same base, the exponents are added

2) We can only add or subtract coefficients from variables that have the same exponent.

3) The Remainder and the quotient are:

Quotient: 4x ^ 2 + 12x + 16

Remainder: -2

Answer:

The remainder is -2. See attached image for the solution.

View image carlosego
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.