f(x)=x^2 -3x +2 and f(x^2 -3x +2) = ax^4 + bx^3 + cx^2 + dx + e.then a + b + c + d + e= ?

Dear student

fx=x2-3x+2=x2-2x-x+2=xx-2-1x-2=x-1x-2so, fx=x-1x-2given that fx2-3x+2=ax4+bx3+cx2+dx+e          .....1now fx=x-1x-2fx2-3x+2=x2-3x+2-1x2-3x+2-2         .....2so, from eqn 1 and 2, we getax4+bx3+cx2+dx+e=x2-3x+2-1x2-3x+2-2putting x=1 we geta+b+c+d+e=12-3×1+2-112-3×1+2-2=0-10-2 = 2

Regards

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