What is the standard form of #y= (x-3)(3x-3)(x+2)+3-4x#?

1 Answer
Kalyanam S.
May 29, 2018

color(purple)(y = 3x^3 - 6x^2 - 19x + 21# is the standard form.

Explanation:

#y = (x-3) (3x-3) (x+2) +3 -4x#

#y = (3x^2 -9x -3x +9) (x+2) + 3 - 4x#

#y = 3x^3 - 9x^2 - 3x^2 + 9x + 6x^2 - 18x - 6x + 18 + 3 - 4x#

#color(purple)(y = 3x^3 - 6x^2 - 19x + 21# is the standard form.

Polynomial degree : 3

No. of terms : 4

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