What is the standard form of y= 2(x-3)(x-2)(3x-5)y=2(x−3)(x−2)(3x−5)?

1 Answer
Roella W. · Alan P.
Nov 27, 2015

y=6x^3-40x^2+86x-60y=6x3−40x2+86x−60

Explanation:

In general the standard form of a polynomial is
color(white)("XX")y=a_nx^n+a_(n-1)x^(n-1)+...+a_2x^2+a_1x^1+a_0

To achieve the standard form, multiply out the expression
y = 2(x-3)(3x^2 -6x - 5x +10)
y = 2(3x^3 -11x^2 +10x - 9x^2 +33x - 30)
y = 2(3x^3 -20x^2 +43x -30)
y = 6x^3 -40x^3 +86x -60

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