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Lady bird [3.3K]
3 years ago
6

Simplify the following polynomial expression. (5x^4 - 9x^3 + 7x - 1) + (-8x^4 + 4x^2 - 3x + 2) - ( -4x^3 + 5x - 1)( 2x - 7)

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
7 0

Answer: 5x^{4}-37x^{3}-6x^{2} +41x-6


Step-by-step explanation:

1. You must apply the Distributive property.  You need to remember the product property of exponents: If you multiply powers with the same base, you must add the exponents. Them you have:

=5x^{4}-9x^{3}+7x-1-8x^{4}+4x^{2}-3x+2-(8x^{4}+28x^{3}+10x^{2}-35x-2x+7)\\=5x^{4}-9x^{3}+7x-1-8x^{4}+4x^{2}-3x+2-8x^{4}-28x^{3}-10x^{2}+35x+2x-7

2. Now, you must add the like terms. Then, you obtain the following result:

=5x^{4}-37x^{3}-6x^{2} +41x-6



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Answer:

The order of operations is PEMDAS

First step is to do everything is parenthesis or brackets

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First you would go 5-1=4, because that is the first equation that is in parenthesis by itself.

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Next you would go 4+6=10, because that is your next smallest bracket

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Last you would go 2*10=20

Your equation now looks like this

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In PEMDAS your next step is exponents, but we don't have any so we go on to the next one which is multiply/division

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Hope this helps ;)

Step-by-step explanation:

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