Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
The remainder when f(x) is divided by (x - 3) is 8 and this can be determined by using the factorization method.
Given :
[tex]\rm f(x) = x^4-5x^2-6x-10[/tex]
The following steps can be used in order to determine the remainder if f(x) is divided by (x - 3):
Step 1 - Write the mathematical expression of the statement "f(x) is divided by (x - 3)".
[tex]=\dfrac{x^4-5x^2-6x-10}{x-3}[/tex]
Step 2 - Now, try to factorize the numerator in the above expression.
[tex]=\dfrac{x^4-3x^3+3x^3-9x^2+4x^2-12x+6x-18+18-10}{x-3}[/tex]
Step 3 - Further simplify the above expression.
[tex]=\dfrac{x^3(x-3)+3x^2(x-3)+4x(x-3)+6(x-3)+8}{x-3}[/tex]
[tex]=(x^3+3x^2+4x+6) +\dfrac{8}{x-3}[/tex]
So, the remainder when f(x) is divided by (x - 3) is 8.
For more information, refer to the link given below:
https://brainly.com/question/6810544
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
