Sarah serves at a restaurant and makes 20% of what she sells as tips. Her base salary is $10.20an hour. Each hour she sells an a
verage of $60 of food and drinks. She also makes time and a half when she works over 8 hours during a single shift. Her work week contains three 10-hour shifts, one 5-hour shift, and one 11-hour shift. Using the same income deductions as stated in the previous question, what is Sarah's annual gross income and annual net incom
Among the four choices, is the only one that is not a linear factor of this polynomial function.
Step-by-step explanation:
Let denote some constant. A linear factor of the form is a factor of a polynomial if and only if (that is: replacing all in the polynomial with the constant would give this polynomial a value of .)
For example, in the second linear factor , the value of the constant is . Verify that the value of is indeed . (In other words, replacing all in the polynomial with the constant should give this polynomial a value of .)
.
Hence, is indeed a linear factor of polynomial .
Similarly, it could be verified that and are also linear factors of this polynomial function.
Rewrite the first linear factor in the form for some constant : , where .
Calculate the value of .
.
implies that (which is equivalent to ) isn't a linear factor of this polynomial function.