SOLUTION: If P(x)=3x^3+2x^2+x+20 and we write P(x) in the form P(x)=A+B(x-1)+C(x-1) (x-2)+D(x-1)(x-2)(x-3) A=? and B=?

Question 210907: If P(x)=3x^3+2x^2+x+20 and we write P(x) in the form P(x)=A+B(x-1)+C(x-1) (x-2)+D(x-1)(x-2)(x-3) A=? and B=?
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!
If P(x)=3x^3+2x^2+x+20 and we write
P(x) in the form P(x)=A+B(x-1)+C(x-1) (x-2)+D(x-1)(x-2)(x-3) A=? and B=?


Set both expressions for P(x) equal to each other:




Choose values for x that will cause some of those expresions
in parentheses to become 0.


Substitute 1 for x in the above:









---



Now substitute 2 for x in the above:









And since A=26, substituting:







So  and 

Edwin

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