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Can someone explain this to me? (1 Viewer)

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Have my first ever econ1202 lecture and just do not understand what my lecturer is doing with the examples ( f(x) =2, f(x) = 1 + 0.5x and so on ) he is giving in the pic below. Was wondering if someone could explain what is going on here lol. Cheers
 

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Qeru

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Have my first ever econ1202 lecture and just do not understand what my lecturer is doing with the examples ( f(x) =2, f(x) = 1 + 0.5x and so on ) he is giving in the pic below. Was wondering if someone could explain what is going on here lol. Cheers
The general form of a polynomial is:

where all the c's are constants and all the x's are variables

ANY polynomial can be represented in this form. For example if I let and and every other c=0 notice how the only terms im left with are the and terms (all the other terms become zero) so the polynomial becomes: . This is just one specific random example of a polynomial.
 
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The general form of a polynomial is:

where all the c's are constants and all the x's are variables

ANY polynomial can be represented in this form. For example if I let and and every other c=0 notice how the only terms im left with are the and terms (all the other terms become zero) so the polynomial becomes: . This is just one specific random example of a polynomial.

I sort of get that but in the third example, why is c2=1? Where is he getting that?
 

Qeru

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I sort of get that but in the third example, why is c2=1? Where is he getting that?
corresponds to the constant term, corresponds to to the term in x. corresponds to the term in c_3 corresponds to the term in and so on. So by letting your letting the coefficient of equal to 1, and all the other c's are zero so they all cancel.
 
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corresponds to the constant term, corresponds to to the term in x. corresponds to the term in c_3 corresponds to the term in and so on. So by letting your letting the coefficient of equal to 1, and all the other c's are zero so they all cancel.
this makes much more sense thank you!
 

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