Question

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 = 3 63. x3 + 2x2 – 3x – 6 = 0, x= 13 64. x3 + 2x2 – 2x – 4 = 0, x= 12 65. x3 – 3x2 + 2 = 0, x = 1 + 13 66. x3 – x2 – 13x – 3 = 0, x = 2 – 5 Factoring a Polynomial In Exercises 67–74, the given factors of f(x), (b) find the remaining fa f(x), (c) use your results to write the complete fact of f(x), (d) list all real zeros of f, and (e) conf results by using a aranhing utility to aranh the

63 only

Answer 1

Solution - 63) & n= 3 then the by (n- given that 3424²–34-6=0, n=3 is the solution of this polynomial polynomial must be devided 3) using factor theorem - "n-d3 43 4222-32 -6 2² +2+13 +213 n²_1322 + 0 +2+3) 22-32-6 213n² – 13/2+13n - + 0 + (213 +3-3n - 6 213X – 2x63/2 - + o to " N² + 2n²-32-6 is devisible by n-3 & a= 3 is the solution of this polynomial. n² +222-32-6 = (N-V3) [M² + (2 +13) 4 + 2 +3}=0