Dividing the given polynomial by (x -6) gives quotient Q(x) and remainder 5 then for Q(-6) = 3 , P(-6) = -31and P(6) =5.
As given in the question,
P(x) be the given polynomial
Dividing P(x) by divisor (x-6) we get,
Quotient = Q(x)
Remainder = 5
Relation between polynomial, divisor, quotient and remainder is given by :
P(x) = Q(x)(x-6) + 5 __(1)
Given Q(-6) = 3
Put x =-6 we get,
P(-6) = Q(-6)(-6-6) +5
⇒ P(-6) = 3(-12) +5
⇒ P(-6) =-36 +5
⇒ P(-6) = -31
Now x =6 in (1),
P(6) = Q(6)(6-6) +5
⇒ P(6) = Q(6)(0) +5
⇒ P(6) = 5
Therefore, dividing the given polynomial by (x -6) gives quotient Q(x) and remainder 5 then for Q(-6) = 3 , P(-6) = -31and P(6) =5.
The complete question is:
Dividing the polynomial P(x) by x - 6 yields a quotient Q(x) and a remainder of 5. If Q(-6) = 3, find P(-6) and P(6).
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Answer: 3 quarts
using the information 1 cup = 0.25 quarts, we can use dimensional analysis or a conversion factor to find the number of quarts in 12 cups.
start by expressing x as your unknown value being the number of quarts
there are 3 quarts in 12 cups
Step-by-step explanation:
Sue Brown owes $280.00 in state taxes for the month.
Step-by-step explanation:
Given,
Gross pay of Sue in June = $8000
Tax rate = 3.5%
As full amount is taxable; therefore
Amount of tax to be paid = 3.5% of pay of June
Amount of tax to be paid = 
Amount of tax to be paid = 0.035*8000
Amount of tax to be paid = $280.00
Sue Brown owes $280.00 in state taxes for the month.
Keywords: percentage, multiplication
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