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frutty [35]
2 years ago
6

The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.

Mathematics
2 answers:
vova2212 [387]2 years ago
7 0

Answer: the coomon factor that is missing from both sets of parentheses is 2x + 7.


Explanation:


These are the steps to factor the polynomial with the reasons that justify them:


Step                                                   Reason

1. 10x³ + 35x² - 4x - 14                       Given

2. (10x³ + 35x²) - (4x + 14)                 Group the terms

3. 5x² (2x + 7) - 2 (2x + 7)                Common factor 5x² and 2


After this, you extract common factor 2x + 7 and have the complete factored polynomial: (2x + 7) (5x² - 2).

ankoles [38]2 years ago
6 0
Answer is 2x+7 because in the first parenthesis when you take out 5x2 you are left with 2x+7 and in the 2nd parenthesis you also get 2x+7 because the negative is factored out
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we know that

To find the company with the greatest total employee compensation package, adds each company's gross pay, paid insurance, and paid time off, then subtract the job expenses on the sum

So

Find the total employee compensation package for each company

Step 1

Find the total employee compensation package for company A

total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses

total\ employee\ compensation=37,600+2,800+3,100-1,200\\ total\ employee\ compensation=42,300\ dollars

Step 2

Find the total employee compensation package for company B

total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses

total\ employee\ compensation=36,800+2,400+3,600-600\\ total\ employee\ compensation=42,200\ dollars

Step 3

Find the total employee compensation package for company C

total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses

total\ employee\ compensation=38,100+2,100+2,900-300\\ total\ employee\ compensation=42,800\ dollars

Step 4

Find the total employee compensation package for company D

total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses

total\ employee\ compensation=39,000+1,800+2,500-800\\ total\ employee\ compensation=42,500\ dollars

therefore

the answer is

the company with the greatest total employee compensation package is the company C

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