A fifth-degree polynomial equation with rational coefficients has the roots 3, 8i, and 7- radical 5. Which are also roots of the
polynomial equation?
1 answer:
Using <u>complex numbers and radicals</u>, it is found that the correct option is C.
When a complex number is a root of a polynomial function, it's conjugate also has to be.
- Hence, since 8i is a root of the function, -8i is also a root.
The same is valid for radicals, as they are in the format.
- Since
is a root,
is also a root.
Hence, option C is correct.
For more on <u>complex numbers and radicals</u>, you can check brainly.com/question/25173944
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Marilyn's net pay will increase by $18.15 as her Federal Withholding Allowance increases from 3 to 4.
<h3>What is Federal Withholding Allowance?</h3>A Federal Withholding Allowance is an exemption that lowers the amount of income tax you must deduct from an employee's paycheck.
Given: The following are the deductible computation:
- For federal withholding allowance = 3:
- Social Security Tax: 6.2% of $810 =
= $50.22
- Medicare tax : 1.45% of $810 =
= $11.745
- State tax: (21% of 3)% of $810=
= 0.63% of $810 =
= $5.103
Total = $67.068; deducted amount of his gross pay = $810 - $67.068 $742.932 (3 federal withholding).
- For Federal Withholding Allowance = 4:
- State tax: (21% of 4)% of $810 =
= 0.84% of $810 =
= $6.8704
Thus, as we can see from the calculations, the State taxes increased from $5.103 to $6.8704. Hence, the net pay increases by $18.15 as the federal allowance increases from 3 to 4.
To learn more about Federal Withholding Allowance, refer to the link: brainly.com/question/1212566
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