Use the remainder theorem to determine the remainder when each polynomial is divided by x + 2. a) x³ + 3x² - 5x + 2 b) 2x? - 2x³ + 5x c) x? + x³ - 5x² + 2x - 7 d) 8x³ + 4x² - 19 e) 3x³ - 12x - 2
Added by Wendy M.
Close
Step 1
The remainder theorem states that if a polynomial f(x) is divided by x - c, then the remainder is f(c). Show more…
Show all steps
Your feedback will help us improve your experience
James Kiss and 97 other Precalculus 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 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
What I Know: Use the Remainder Theorem to find the remainder when each polynomial is divided by the corresponding binomial. 1. x^2 + 2x^2 + 3x - 8 a. x - 1 b. x + 1 c. x + 2 2. 3x^3 + 3x^2 - 12x - 8 a. x - 2 b. x + 2 c. x - 3 3. 4x^2 - 2x + 5 a. x - 5 b. x + 5 c. x - 6 4. 2x^3 - 5x^2 + x - 2 a. x + 2 b. x - 2 c. x - 3 5. 8x^3 + 5x^2 - 2x - 5 a. x - 1 b. x - 2 c. x - 3
Moses O.
Use synthetic division and the Remainder Theorem to find the indicated function value. f(x) = x^4 + 3x^3 + 2x^2 - 6x - 2; f(4) A. -454 B. 1,816 C. 198 D. 454
Kathleen C.
Recommended Textbooks
Precalculus with Limits
Precalculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD