Question
Use the remainder theorem to evaluate the polynomial for the given values of $x$. (See Example 6 )$f(x)=2 x^{4}+x^{3}-49 x^{2}+79 x+15$a. $f(-1)$b. $f(3)$c. $f(4)$d. $f\left(\frac{5}{2}\right)$
Step 1
The remainder theorem states that if a polynomial $f(x)$ is divided by $x-a$, then the remainder is $f(a)$. Show more…
Show all steps
Your feedback will help us improve your experience
Allison Knapp and 94 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
Use the remainder theorem to evaluate the polynomial for the given values of $x$. (See Example 6 ) $g(x)=3 x^{4}-22 x^{3}+51 x^{2}-42 x+8$ a. $g(-1)$ b. $g(2)$ c. $g(1)$ d. $g\left(\frac{4}{3}\right)$
Polynomial and Rational Functions
Division of Polynomials and the Remainder and Factor Theorems
Use the remainder theorem to determine the remainder when each polynomial is divided by $x+2$ a) $x^{3}+3 x^{2}-5 x+2$ b) $2 x^{4}-2 x^{3}+5 x$ c) $x^{4}+x^{3}-5 x^{2}+2 x-7$ d) $8 x^{3}+4 x^{2}-19$ e) $3 x^{3}-12 x-2$ f) $2 x^{3}+3 x^{2}-5 x+2$
Polynomial Functions
The Remainder Theorem
Use the remainder theorem to evaluate the polynomial for the given values of $x$. (See Example 6 ) $h(x)=5 x^{3}-4 x^{2}-15 x+12$ $\underline{\mathbf{a}} . h(1)$ b. $h\left(\frac{4}{5}\right)$ c. $h(\sqrt{3})$ d. $h(-1)$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD