Beskou die polinoom / Consider the polynomial p(x) = 2x4 + 5x3 – 3.5x2 - 4x – 1.5 vat twee werklike nulle het / which ha

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Beskou Die Polinoom Consider The Polynomial P X 2x4 5x3 3 5x2 4x 1 5 Vat Twee Werklike Nulle Het Which Ha 1 (23.5 KiB) Viewed 60 times

Beskou die polinoom / Consider the polynomial p(x) = 2x4 + 5x3 – 3.5x2 - 4x – 1.5 vat twee werklike nulle het / which has two real zeros x1 € (0, -2.5) en/and x2 € (0.5, 00) Question 1 of 4 2 Points Click to see additional instructions Gebruik die halveeringsmetode om die nulpunte x1 en x2 van p(x) te benader binne 'n toleransie van 10-6. Gee die benaderde waardes afgerond tot drie desimale. / Use the bisection method to approximate the zeros X1 and X2 of p(x) within a tolerance of 10-6. Give the approximate values rounded to three decimals antwoord/answer: X1= en/and X2=
Question 2 of 4 1 Points Click to see additional instructions As p(x)=(x-X1)91(x), waar X1 die benaderde nulpunt afgerond tot drie desimale is wat in vraag 1 verkry is, bepaal die polinoom 91(x). Gee die waardes van die koëffisiënte afgerond tot drie desimale. / If p(x)=(x-X1)91(x), where X1 is the approximate zero rounded to three decimals obtained in question 1, determine the polynomial 91(x). Give the values of the coefficients rounded to three decimals. antwoord/answer: 91(x)= x+ [x²+
Question 3 of 4 1 Points Click to see additional instructions As 91(x)=(x-x2) 42(x), waar x2 die benaderde nulpunt afgerond tot drie desimale is wat in vraag 1 verkry is, bepaal die polinoom 42(X). Gebruik die volle waardes van die koëffisiënte van die polinoom q1(x), en gee die waardes van die koëffisiënte van 92(x) afgerond tot drie desimale. / If q1(x)=(x-x2) 92(x), where x2 is the approximate zero rounded to three decimals obtained in question 1, determine the polynomial 92(x). Use the full values of the coefficients of the polynomial 91(x), and give the values of the coefficients of qz(x) rounded to three decimals. antwoord/answer: 92(x)= x2+ X+
Question 4 of 4 1 Points Click to see additional instructions Lei 'n benaderde waarde af van die komplekse wortel X3=a + Bi (lê in die tweede kwadrant in die komplekse vlak) van die polinoom p(x) binne 'n toleransie van 10-6 by die gebruik van die deflasie- en halveringsmetode. Gebruik die volle waardes van die koëffisiënte van die polinome hierbo, en gee die waardes van a en B afgerond tot drie desimale. / Deduce an approximate value of the complex root X3=a + Bi (lying in the second quadrant in the complex plane) of the polynomial p(x) within a tolerance of 10-6 when using the deflation and bisection method. Use the full values of the coefficients of the polynomials above, and give the values of a and B rounded to three decimals. antwoord/answer: a= en/and ß=