SOLUTION: Given that 2x^3- 3x + 1 can be expressed in the form Ax*(x^2+ 1) + Bx + C, find the values of the constants A, B and C. The answers are a=2 c=1 and therefore b =-5 GDC Calcula

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Given that 2x^3- 3x + 1 can be expressed in the form Ax*(x^2+ 1) + Bx + C, find the values of the constants A, B and C. The answers are a=2 c=1 and therefore b =-5 GDC Calcula      Log On


   



Question 1132237: Given that 2x^3- 3x + 1 can be expressed in the form Ax*(x^2+ 1) + Bx + C, find the values of the constants A, B and C.
The answers are a=2 c=1 and therefore b =-5
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Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
+2x%5E3-3x+%2B+1++=+Ax%28x%5E2%2B1%29%2BBx+%2B+C+
= +Ax%5E3+%2B+Ax+%2B+Bx+%2B+C+
= +Ax%5E3+%2B+%28A%2BB%29x+%2B+C+
By inspection (compare the last line to the left hand side of the first line) you can see C=1, A=2, and then solve A+B=-3 for B=-5

Note that "a" is not necessarily the same as "A" (be precise)