Question

The product of a binomial and a trinomial is x 3 3 x 2 − x 2 x 2 6 x − 2. Which expression is equivalent to this product after it has been fully simplified?.

Answer 1

To solve the problem we must know about Like Terms.

What are Like terms?

like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

The polynomial can be written as $x ^3 + 5x^2+5x - 2$.

Given to us

• $x ^3 + 3x^2 - x + 2x^2 + 6x - 2$

Like terms in the polynomial

We will simplify the given polynomial, therefore, bring the like terms together,

$x ^3 + 3x^2 - x + 2x^2 + 6x - 2\\\\=x ^3 + (3x^2 + 2x^2)+(- x + 6x) - 2\\\\=x ^3 + 5x^2+5x - 2$

Hence, the polynomial can be written as $x ^3 + 5x^2+5x - 2$.

Learn more about Like Terms:

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