mel7isamira
contestada

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?
x3 + 5x2 + 5x – 2
x3 + 2x2 + 8x – 2
x3 + 11x2 – 2
x3 + 10x2 – 2

Respuesta :

meerkat18
To simplify the product obtained by multiplying the binomial and trinomial, combine like terms.
                             x ³ + 3x² - x + 2x² + 6x - 2
                         x³ + (3x² + 2x²) + (-x + 6x) - 2 
Further simplification leads to the answer, 
                            x³ + 5x² + 5x -2
This is the first among the choices. 
MrRoyal

The equivalent expression of x³ + 3x² - x + 2x² + 6x - 2 is x³ + 5x² - 5x - 2

How to determine the equivalent expression?

The expression is given as:

x³ + 3x² - x + 2x² + 6x - 2

Collect like terms in the above expression

x³ + 3x² - x + 2x² + 6x - 2 = x³ + 3x² + 2x² - x  + 6x - 2

Evaluate the like terms

x³ + 3x² - x + 2x² + 6x - 2 = x³ + 5x² - 5x - 2

Hence, the equivalent expression of x³ + 3x² - x + 2x² + 6x - 2 is x³ + 5x² - 5x - 2

Read more about equivalent expression at:

https://brainly.com/question/2972832

#SPJ5