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5. Use the Factor Theorem to determine if - 3 is a root of h(x) =...
63 only Using the Factor Theorem In Exercise use synthetic division to show that x is a soluti third-degree polynomial equation, and use the factor the polynomial completely. List all real of the equation. 59. x3 – 7x + 6 = 0, x = 2 60. x3 – 28x – 48 = 0, x = -4 61. 2x3 – 15x2 + 27x – 10 = 0, x = 62. 48x3 – 80x2 + 41x – 6 = 0, x =...
confused of this. Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of the first. x3 +8x2 + 4x - 48; x+6 Is x + 6 a factor of x3 + 8x2 + 4x - 48? O No Yes
Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of the first. okx+4x2+9:x-2 0 Is x -2 a factor of x3+4x2+9? Su No, because f(2)= Yes, because f(2)-0 r Su O edia
Use synthetic division and the factor theorem to determine whether x - 2 is a factor of f(x) f(x)-4x3-10x2 +7x-6 Complete the first row of the synthetic division table.
Using the complex-n-th roots theorem: 5. (a) Use Theorem 10.5.1: Complex n-th Roots Theorem (CNRT) to com- pute all the 4-th roots of -1/4. (b) Factor the polynomial 4x4 + 1 in C[x]. (c) Factor the polynomial 4x4 +1 in R[x]. (d) Use Rational Roots Theorem to prove that the polynomial 4x4 + 1 has no rational roots. Deduce the factorization of 4x4 + 1 in Q[x].
Homework: 3.3 Zeros of Polynomials Score: 0 of 1 pt 3.3.17 Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of the first x2 + 4x2 +7x-1 Is x-1 a factor of X + 4x2 +7? No, because f(1) = -1 Yes, because f(t)=0. Click to select and enter your answers) and the Answer All parts showing Type vere to search O
SECTION 4.3 Polynomial Division; The Factor the polynomial function f(x). Then solve the equation f(x) = 0. 39, f(x) =x3 + 4x2 + x-6 40. fx) 5x - 2x 24 41, f(x) =x3-6x2 + 3x+10 42. f(x)-x3 + 2x2-13x + 10 43, f(x) = x3-x2-14x + 24 44.f(x) = x3-3x2 In Ex given. a): Fi b) C in gi - L 二 10x +24ー丁only, this one d) C gi ase 45' f(x) =x4-7x3 + 9x2 + 27x-54 plecs( 46, f(x)...
5) a) Use the alternating estimation theorem to give the maximum error for approximating sin 3 using a third degree Maclaurin polynomial for sin a. b) Use Taylor's inequality to estimate the accuracy of a fourth degree Taylor polynomial for sin a centered atfor 0 s a s 5) a) Use the alternating estimation theorem to give the maximum error for approximating sin 3 using a third degree Maclaurin polynomial for sin a. b) Use Taylor's inequality to estimate the...
please answer with good handwriting Q1 (a) Given the function f(x)= x - 5x² - 2x +10. (1) Prove that there at least a root in the interval [1,3] by using Intermediate Value Theorem. (2 marks) (b) (i) Find the root of f(x) by using Bisection method. Iterate until i = 5. (8 marks) Prove the Lagrange interpolating polynomial of second degree for data of (0,1), (1,2) and (4,2) is P2(x) = -* x2 + x + 1. (5 marks)...
Please show all your work for credit. a). Use the Remainder Theorem and synthetic division to find the function value. Verify your answer using another method b) Use the Remainder Theorem and synthetic drvision to find the function value. Verify your answer using another method f(x) 4x-3x 2x -4, (2) a) Using the facto(+5x+2), find the remaining factorte) off (x) +6x +3x- 10 and winte the polynomial in fully factored form. ) Using the factors (3x + 2) and (x...