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?

a=x3 + 5x2 + 5x – 2
b=x3 + 2x2 + 8x – 2
c=x3 + 11x2 – 2
d=x3 + 10x2 – 2

The expression is equivalent to this product after it has been fully simplified is  

We must simplify the statements known to obtain equivalent expressions to choices.

Rearrange to facilitate the summation of similar terms. Similar terms are 3x² along with 2x² and 6x together with -x.

Unless you are proficient to precisely calculate them directly.

This expression is equivalent to option A.

Note that the degree of the polynomials or the highest power of the variable is three.

Note

(a). Binomial is a polynomial equation with two distinct terms usually combined with a plus or minus sign. "Bi" means two.

Examples:

(b). The square of a binomial will be precisely a trinomial (three terms).

Examples:

(c). The product of the two quantities can equally be binomials, trinomials, or four terms.

Examples 1:

Examples 2:

Examples 3:

Examples 4:

Grade       : Middle School  

Subject     : Mathematics

Chapter    : Polynomials and Factoring

Keywords : the product, binomial, trinomial, which, expression, equivalent, after, fully, simplified, terms, coefficient, variables, constants, algebra

step-by-step explanation:

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