Ishaan Mcneil

2022-02-01

What is the standard form of $y=\left(x-2\right){\left(x+3\right)}^{2}$?

Expert

Explanation:
the standard form of a polynomial of degree 3 is
$y=a{x}^{3}+b{x}^{2}+cx+d;a\ne 0$
Expand the factors and collect like terms
$y=\left(x-2\right)\left({x}^{2}+6x+9\right)$
$={x}^{3}+6{x}^{2}+9x-2{x}^{2}-12x-18$
$={x}^{3}+4{x}^{2}-3x-18←$ in standard form

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