If x-2 is a factor of X3+ax2+bx=16and a-b=6then the value of a and b

1.	If x-2 is a factor of X3+ax2+bx=16and a-b=6then the value of a and b
Answer» Thanks ? P(x)=x^3+ax^2+bx=16P(2)=2^3+a×2^2+2×b=16..........8+4a+2b=16...........2a+b=4......(1)a-b =6.............. (2) {given}......(1)+(2):......2a+b=4…....a-b =63a=10, (a=10/3).......(3)Put (3) in (2);.....10/3-b=6......10/3-6=b(B=-8/3)

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