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What is the product of -2x^2 + x - 5 and x^3 - 3x - 4 ? Show your work.

Is the product of -2x^2 + x - 5 and x^3 - 3x - 4 equal to the product of x^3 - 3x - 4 and -2x^2 + x - 5 ? Explain your answer.

Respuesta :

carlosego

For this case we must find the product of the following expressions:[tex](-2x ^ 2 + x-5) (x ^ 3-3x-4) =[/tex]

We must apply distributive property, that is, multiply each term:

We must bear in mind that:

[tex]+ * - = -\\- * - = +[/tex]

[tex]-2x ^ {2 + 3} + 6x^{2 + 1} + 8x ^ 2 + x^{3 + 1} -3x^{1 + 1} -4x-5x ^ 3 + 15x + 20 =\\-2x ^ 5 + 6x ^ 3 + 8x ^ 2 + x ^ 4-3x ^ 2-4x-5x ^ 3 + 15x + 20[/tex]

If we multiply[tex](x ^ 3-3x-4) (- 2x ^ 2 + x-5)[/tex] we would obtain the same result according to the commutative property of the multiplication:

[tex]a * b = b * a[/tex]

Answer:

[tex]-2x ^ 5 + 6x ^ 3 + 8x ^ 2 + x ^ 4-3x ^ 2-4x-5x ^ 3 + 15x + 20[/tex]

annieeeee1029384756

Answer:

The CORRECT answer is  -2x^6 + 7x^4 + 3x^3 – 3x^2 + 11x + 20

Step-by-step explanation:

I go to k12 and all the other answers are incorrect. I had this on my test.  

MY WORK:

-2x^6 + 6x^4 + 8x^3 + x^4 – 3x^2 – 4x – 5x^3 + 15x + 20

= -2x^6 + 7x^4 + 3x^3 – 3x^2 + 11x + 20  

b) Yes, it would be equal because of the rule of the commutative property. (basically, the order in which you multiply won’t matter.)            

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