Find a basis for the subspace of P3 spanned by S = {13 +1 2 +2t + Lt3 -3/ + 1.12 + 1 +2. 1+1.13+1).

MATH 103 Chapter 1 Notes Problem Solving Techniques: ● Understand t he problem ○ Make sure that you read and analyze a problem carefully to completely understand what i t re trying ind.f ● Devise plan ○ Since there are many different ways to solve a problem, decide which plan is the most appropriate for the particular problem you are solving. ● Carry out lanp ○ Make sure to fully carry out your plan once you decide on one. If it isn’t the best way to approach the problem and you run into a dead end, try something else! ● Look back an heck ○ Check over your answers to make sure they’re reasonable and thorough. Strategies for roblem olving ● Use common sense ● Guess and check ● Use rial rror ● Use inductive reasoning ○ drawing a general conclusion from repeated observations of specific examples ● Use deductive reasoning ○ applying eneral principl o speci xamples ● Solve a similar, simpler problem ● Work backwards ● Write out a table ● Make a chart ● Find any patterns ● Make a sketch ● Use a formula i pplies a ● Write an equation and solve it