Question
For each polynomial function, use the remainder theorem and synthetic division to find $f(k) .$$$f(x)=2 x^{5}-10 x^{3}-19 x^{2} ; \quad k=3$$
Step 1
We write the coefficients of the polynomial $f(x)=2x^5-10x^3-19x^2$ in descending order of degree. We also include the coefficients of missing terms, which are zero. So, we write $2, 0, -10, -19, 0, 0$. Show more…
Show all steps
Your feedback will help us improve your experience
Aman Gupta and 54 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
For each polynomial function, use the remainder theorem and synthetic division to find $f(k) .$ See Example 2 $$f(x)=2 x^{5}-10 x^{3}-19 x^{2}-50 ; k=3$$
Polynomial and Rational Functions
Synthetic Division
For each polynomial function, use the remainder theorem and synthetic division to find $f(k) .$ $$ f(x)=2 x^{3}-3 x^{2}-5 x+4 ; \quad k=2 $$
Zeros of Polynomial Functions (I)
For each polynomial function, use the remainder theorem to find $f(k)$ $$f(x)=2 x^{5}-10 x^{3}-19 x^{2}-50 ; \quad k=3$$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD