Computers and Technology

Computers and Technology, 17.10.2019 06:30, amy123261

Exactly how many multiplication's and additions are used to evaluate a polynomial of degree n at x = c?

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Mathematics, 04.07.2019 14:00, Angelanova69134

The number of cars that would possibly be sold in the next two years with the existing business model is modeled with the polynomial c(x)=−3x4+x5+2.16x3+1, where x represents the number of years after the current year. prince digit states that the degree of this polynomial is 4, because it is the exponent in the first term of the polynomial. is he correct? a) no, he is not correct. the degree of a polynomial in one variable is identified by the largest exponent. therefore, the degree of this polynomial is 5. b) no, he is not correct. the degree of a polynomial in one variable is the sum of the exponents in the polynomial. therefore, the degree of this polynomial is 12. c) no, he is not correct. the degree of a polynomial in one variable is the exponent of the term with the greatest coefficient. therefore, the degree of this polynomial is 3. d) yes, he is correct. the degree of a polynomial in one variable is the exponent in the first term of the given polynomial.

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Mathematics, 16.07.2019 22:00, ilovemilk1981

Choose the correct classification of 5x + 3x^4 − 7x^3 + 10 by number of terms and by degree. answers- third degree polynomial fourth degree polynomial sixth degree polynomial first degree binomial

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Mathematics, 19.10.2019 04:20, liz3022

G5. (5 points) next, let’s turn our attention to the vector space p2, which is the set of polynomial with degree at most 2, together with polynomial addition and scalar multiplication. let p1 = 1−x+2x2 p2 = 3+x p3 =5−x+4x2 p4 =−2−2x+2x2. is the span{p1,p2,p3,p4}={k1p1 +k2p2 +k3p3 +k4p4 : k1,k2,k3,k4 ∈r}=p2? that is, can every polynomial of degree at most two be written as a linear com- bination of p1, p2, p3 and p4? explain.

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Mathematics, 04.11.2019 22:31, marisolrojo2002

There is a more efficient algorithm (in terms of the number of multiplications and additions used) for evaluating polynomials than the conventional algorithm described in the previous exercise. it is called horner's method. this pseudocode show how to use this method to find the value of [tex]a_nx^n+a_{n−1}x^{n−1}++a_1x+a_0[/tex] at x=c procedure horner(c, a₀, a₁, a₂ [tex]a_n[/tex]: real numbers) y: =[tex]a_n[/tex] for i: =1 to n y: =y∗c+[tex]a_{n-i}[/tex] {[tex]y=a_nc^n+a_{n-1}c^{n-1}++a_1c+a_0[/tex]} a) evaluate 3x²+x+1 at x=2 by working through each step of the algorithm showing the values assigned at each assignment step. b) exactly how many multiplications and additions are used by this algorithm to evaluate a polynomial of degree n at x=c? (do not count additions used to increment the loop variable.

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