Horner's method is an efficient polynomial evaluation method th... | Filo
Horner's method is an efficient polynomial evaluation method th..…
8 months ago
askfilo.com
SOLVED:Polynomials can be evaluated in a nested form (also called Horner's method) that has two advantages: the nested form has significantly less computation, and it can reduce roundoff error. For p(x)=a0 a1 x a2 x^2 … an-1 x^n-1 an x^n its nested form is p(x)=a0 x(a1 x(a2 … x(an-1 x(an)) …)) Consider the polynomial p(x)=x^2 1.1 x-2.8. a) Compute p(3.5) using three-digit rounding, and three-digit chopping arithmetic. What are the absolute errors? (Note that the exact value of p(3.5) is 13.3 .)
SOLVED:Polynomials can be evaluated in a nested form (also c…
Apr 26, 2021
numerade.com
Get Master at Math on Instagram: "⚡ Horner’s Method: Polynomial Powers Made Easy! 🧮✨ • Horner’s Method shows how polynomials can be evaluated quickly and efficiently. From long equations to smooth calculations—it’s all about smart shortcuts! 🔢⚡ • Why it’s awesome: It turns messy polynomials into simple steps, saving time and reducing errors. 🌟 • Where it’s used: 📊 Engineering – Control systems & signal processing 📈 Computer Science – Algorithm optimization 🧠 Math – Evaluating and factoring
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