The product of a binomial and trinomial is x^3+3x^2-x+2x^2+6x-2 which expression is equivalent to this product after it has been fully simplified?
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Answer: First option.
Step-by-step explanation:
You know that the product obtained by multiplying a binomial and a trinomial is:
[tex]x^3+3x^2-x+2x^2+6x-2[/tex]
Then, in order to simplify this product, it is necessary to add the like terms.
Therefore, the expression that is equivalent to this product after it has been fully simplified is:
[tex]=x^3+(3x^2+2x^2)+(6x-x)-2\\\\=x^3+5x^2+5x-2[/tex]
You can observe that this matches with the first option.