p(x)=2x^3+13x^2+17x-12(x+4)

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Solution for p(x)=2x^3+13x^2+17x-12(x+4) equation: 


Simplifying
p(x) = 2x3 + 13x2 + 17x + -12(x + 4)

Multiply p * x
px = 2x3 + 13x2 + 17x + -12(x + 4)

Reorder the terms:
px = 2x3 + 13x2 + 17x + -12(4 + x)
px = 2x3 + 13x2 + 17x + (4 * -12 + x * -12)
px = 2x3 + 13x2 + 17x + (-48 + -12x)

Reorder the terms:
px = -48 + 17x + -12x + 13x2 + 2x3

Combine like terms: 17x + -12x = 5x
px = -48 + 5x + 13x2 + 2x3

Solving
px = -48 + 5x + 13x2 + 2x3

Solving for variable 'p'.

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

Divide each side by 'x'.
p = -48x-1 + 5 + 13x + 2x2

Simplifying
p = -48x-1 + 5 + 13x + 2x2

Reorder the terms:
p = 5 + -48x-1 + 13x + 2x2

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