p(x)=x^4-3x^3+ax^2-6x+14if(x-2)

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Solution for p(x)=x^4-3x^3+ax^2-6x+14if(x-2) equation: 


Simplifying
p(x) = x4 + -3x3 + ax2 + -6x + 14if(x + -2)

Multiply p * x
px = x4 + -3x3 + ax2 + -6x + 14if(x + -2)

Reorder the terms:
px = x4 + -3x3 + ax2 + -6x + 14fi(-2 + x)
px = x4 + -3x3 + ax2 + -6x + (-2 * 14fi + x * 14fi)
px = x4 + -3x3 + ax2 + -6x + (-28fi + 14fix)

Reorder the terms:
px = ax2 + -28fi + 14fix + -6x + -3x3 + x4

Solving
px = ax2 + -28fi + 14fix + -6x + -3x3 + x4

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Divide each side by 'x'.
p = ax + -28fix-1 + 14fi + -6 + -3x2 + x3

Simplifying
p = ax + -28fix-1 + 14fi + -6 + -3x2 + x3

Reorder the terms:
p = -6 + ax + 14fi + -28fix-1 + -3x2 + x3

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