Aryan Phillips

2022-02-03

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

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Explanation:
In general the standard form of a polynomial is
$y={a}_{n}{x}^{n}+{a}_{n-1}{x}^{n-1}+\dots +{a}_{2}{x}^{2}+{a}_{1}{x}^{1}+{a}_{0}$
To achieve the standard form, multiply out the expression
$y=2\left(x-3\right)\left(3{x}^{2}-6x-5x+10\right)$
$y=2\left(3{x}^{3}-11{x}^{2}+10x-9{x}^{2}+33x-30\right)$
$y=2\left(3{x}^{3}-20{x}^{2}+43x-30\right)$
$y=6{x}^{3}-40{x}^{3}+86x-60$
$y=6{x}^{3}-40{x}^{3}+86x-60$