Question

Find a polynomial of least possible degree having the graph shown. f(x) = (Type your answer in fact 68- (0.18) -B 2 3 12 -50

Answer 1

this graph has 2 turen So the polyuannial possible will turning points, degree 3. the? have 3 an w teatd y = we have u points on the graph. 620),(3,0), (6,0), (0,18) for (0,18 → 18 = a (0)3 +6(0)2teco) +d > d=18 for (-2,0) yozal-2)3+ b(-2) +0(-2) +1 03-894468-26=18 = 8a -ubt26 =18 T =) Ya-2b to 9. a for (3,0) =o= a(8) 3+ b(3)2+c(3) +18 O=27a + ab +3 ct 18 ㅠ 272 +95 +30 = -18 99 +3b +c = -9 27 CS Scanned with CamScanner

for (6.0) +9= a(6) 2+ b(6)+c (6) H8 216 a +366t6c -18 36 a tobte -3 3) ou sohan 8 Fouring a90.0 we get a=0e7 b = -403 ca.204 CSScanned with CamScanner

are 3 2 + boe .*. f(20) tertd f(x) = 0.783 -4.3 de 2-2.48 td 3 CSScanned with CamScanner