Science:Math Exam Resources/Courses/MATH307/December 2012/Question 01 (c)
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Question 01 (c) 

In this question we will work with polynomials of degree 3 written (c) The coefficient vector satisfies an equation of the form Ba=b when the graph of p(x) passes through the points (0,1), (1,2) and (2,2). Write down the matrix B and the vector b. 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

We have three points which should generate three linear equations for the unknown coefficients. How can we turn this into a matrix? 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. passes through and Mathematically, for p(0)=1, for p(1)=2, and for p(2)=2, The systems above can be written in a form of
where
