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38. The polynomial f(x) = x4_2y3nolynomial f(x) = x - 2x + 3x - ax + b when divided by (x - 1) and (x + 1) leaves theremainders 5 and 9 respectively. Find the values of a and b. |
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Answer» x^4-2x^3+3x^2-ax+bwhen x-1=0, x=1(1)^4-2(1)^3+3(1)^2-a×1+b= 51-2+3-a+b=5b-a=5-2=3----(1)x+1=0, x= -1(-1)^4-2(-1)^3+3(-1)^2-a(-1)+b= 91+2+3+a+b=9b+a= 9-6=3----(2)b-a= 3b+a= 3by adding 2b= 6b= 6/2=3b+a=33+a=3a= 3-3=0 |
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