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2 years ago

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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Step-by-step explanation:

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Which of the following companies offers the greatest total employment compensation? Company A Company B Company C Company D Gros

san4es73 [151]

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

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

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

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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