Read the Sign from the Graph
Difficulty: Easy · Topics: Algebra, Polynomials, Polynomial Inequalities
Ishorani grafikdan o‘qing
The graph of the cubic y=P(x) crosses the x-axis only at -3, 0 and 2.
graph "x":[-4.2,4],"y":[-3,3.4],"xTicks":[-3,2],"yTicks":[],"clip":true,"label":"Cubic graph crossing the x-axis at -3, 0 and 2","items":["type":"curve","points":[[-3.45,-2.82],[-3.382,-2.319],[-3.314,-1.846],[-3.247,-1.401],[-3.179,-0.982],[-3.111,-0.589],[-3.043,-0.222],[-2.976,0.121],[-2.908,0.439],[-2.84,0.733],[-2.772,1.004],[-2.704,1.253],[-2.637,1.481],[-2.569,1.687],[-2.501,1.872],[-2.433,2.038],[-2.366,2.184],[-2.298,2.312],[-2.23,2.421],[-2.162,2.513],[-2.094,2.589],[-2.027,2.648],[-1.959,2.691],[-1.891,2.72],[-1.823,2.734],[-1.756,2.735],[-1.688,2.722],[-1.62,2.698],[-1.552,2.661],[-1.484,2.613],[-1.417,2.555],[-1.349,2.486],[-1.281,2.408],[-1.213,2.322],[-1.146,2.227],[-1.078,2.125],[-1.01,2.017],[-0.942,1.902],[-0.874,1.781],[-0.807,1.655],[-0.739,1.525],[-0.671,1.392],[-0.603,1.255],[-0.536,1.116],[-0.468,0.974],[-0.4,0.832],[-0.332,0.689],[-0.264,0.546],[-0.197,0.404],[-0.129,0.263],[-0.061,0.123],[0.007,-0.013],[0.074,-0.147],[0.142,-0.277],[0.21,-0.402],[0.278,-0.523],[0.346,-0.638],[0.413,-0.746],[0.481,-0.848],[0.549,-0.942],[0.617,-1.028],[0.684,-1.106],[0.752,-1.174],[0.82,-1.232],[0.888,-1.28],[0.956,-1.316],[1.023,-1.34],[1.091,-1.352],[1.159,-1.351],[1.227,-1.337],[1.294,-1.307],[1.362,-1.263],[1.43,-1.204],[1.498,-1.128],[1.566,-1.035],[1.633,-0.925],[1.701,-0.797],[1.769,-0.65],[1.837,-0.484],[1.904,-0.298],[1.972,-0.091],[2.04,0.137],[2.108,0.387],[2.176,0.659],[2.243,0.954],[2.311,1.273],[2.379,1.616],[2.447,1.984],[2.514,2.378],[2.582,2.797],[2.65,3.244]],"start":"arrow","end":"arrow","type":"point","at":[-3,0],"type":"point","at":[0,0],"type":"point","at":[2,0],"type":"label","at":[2.75,2.2],"text":"y = P(x)","anchor":"w","size":13]
Solve P(x) 0.
y=P(x) kub ko‘phadning grafigi x o‘qini faqat -3, 0 va 2 da kesib o‘tadi.
graph "x":[-4.2,4],"y":[-3,3.4],"xTicks":[-3,2],"yTicks":[],"clip":true,"label":"Cubic graph crossing the x-axis at -3, 0 and 2","items":["type":"curve","points":[[-3.45,-2.82],[-3.382,-2.319],[-3.314,-1.846],[-3.247,-1.401],[-3.179,-0.982],[-3.111,-0.589],[-3.043,-0.222],[-2.976,0.121],[-2.908,0.439],[-2.84,0.733],[-2.772,1.004],[-2.704,1.253],[-2.637,1.481],[-2.569,1.687],[-2.501,1.872],[-2.433,2.038],[-2.366,2.184],[-2.298,2.312],[-2.23,2.421],[-2.162,2.513],[-2.094,2.589],[-2.027,2.648],[-1.959,2.691],[-1.891,2.72],[-1.823,2.734],[-1.756,2.735],[-1.688,2.722],[-1.62,2.698],[-1.552,2.661],[-1.484,2.613],[-1.417,2.555],[-1.349,2.486],[-1.281,2.408],[-1.213,2.322],[-1.146,2.227],[-1.078,2.125],[-1.01,2.017],[-0.942,1.902],[-0.874,1.781],[-0.807,1.655],[-0.739,1.525],[-0.671,1.392],[-0.603,1.255],[-0.536,1.116],[-0.468,0.974],[-0.4,0.832],[-0.332,0.689],[-0.264,0.546],[-0.197,0.404],[-0.129,0.263],[-0.061,0.123],[0.007,-0.013],[0.074,-0.147],[0.142,-0.277],[0.21,-0.402],[0.278,-0.523],[0.346,-0.638],[0.413,-0.746],[0.481,-0.848],[0.549,-0.942],[0.617,-1.028],[0.684,-1.106],[0.752,-1.174],[0.82,-1.232],[0.888,-1.28],[0.956,-1.316],[1.023,-1.34],[1.091,-1.352],[1.159,-1.351],[1.227,-1.337],[1.294,-1.307],[1.362,-1.263],[1.43,-1.204],[1.498,-1.128],[1.566,-1.035],[1.633,-0.925],[1.701,-0.797],[1.769,-0.65],[1.837,-0.484],[1.904,-0.298],[1.972,-0.091],[2.04,0.137],[2.108,0.387],[2.176,0.659],[2.243,0.954],[2.311,1.273],[2.379,1.616],[2.447,1.984],[2.514,2.378],[2.582,2.797],[2.65,3.244]],"start":"arrow","end":"arrow","type":"point","at":[-3,0],"type":"point","at":[0,0],"type":"point","at":[2,0],"type":"label","at":[2.75,2.2],"text":"y = P(x)","anchor":"w","size":13]
P(x) 0 ni yeching.