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a Secure Ihttps//www.mathil.com/Student/Player Homework aspx?homeworkld-4827064938questionld- 18flushed-fase8cld-50059688 centerwin ayes 17SUMR1 MATH 150 DEB Homework: Week 7 - 6.2 score: 0 of 1 pt X) 6.2.1-GC Find the cubic function that models the data in the table belovw Tina Bell 6/12/18 11:08 AM 41 of 12 (8 complete) HW Score: 28 36%, 3 4 of 12 pl i Question Help - 20 16 your answer Do not factor. Use integers or decimals for any numbers in the expression. Round to three decimal places as needed) Enter your answer in the answer box and then click Check Answer All parts showing

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Let y=ax^3+bx^2+cx+d .Put (0,0) to get d=0 put (-2,20),(-1,-4).(1,-2),(2,-4),(3,0) and (4,16) to get equations ; -8a+4b-2c=-20 -a+b-c=-4 a+b+c=-2 8a+4b+2c=-4 27a+9b+3c=0 64a+16b+4c=16 Solve equations numbered 4 and 5 to get b=-3 .Put value of b in equations 6 and 7 Solve equations numbered 6 and 7 by elimination method to get values of a=1 and c=0 So polynomial is y=x^3-3x^2 Check your answer by putting in equations numbered 3 and 7

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