Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our 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
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.