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Example 1
$x(-3x+2)(-2x+2)=$
- $6x^3-10x^2+4x$
- $6x^2-10x+4$
- $-6x^3-10x^2+4x$
- $6x^3+10x^2+4x$
- $6x^3+10x^2-4x$
Solution
This example is about mutliplying (or expanding) and simplifying polynomials.
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The 5 possible answers are all polyniomials in expanded form therefore we need to expand the given polynomial starting by expanding $(-3x+2)(-2x+2)$ first
$x(-3x+2)(-2x+2)= x(6x^2-6x-4x+4)$
Group like terms
$=x(6x^2-10x+4)$
Expand further
$=6x^3-10x^2+4x$
Answer A
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