13. INCOME In 2006 the median yearly family income was about $48,200 per year. Suppose the average annual rate of change since then is $1240 per year.
a. Write and graph an inequality for the annual family incomes y that are less than the median
for x years after 2006.
b. Determine whether each of the following points is part of the solution set.
(2, 51,000)
(8, 69,200)
(5, 50,000)
(10, 61,000)

keywords:

polynomial, division, dividend, divisor, quotient, rest

by definition, the division of polynomials must comply with: the dividend must be equal to the product of the divisor by the quotient plus the rest.

by definition, a polynomial is of the form

where:

a, b, c, d, e, f: they are the coefficients of the polynomial

x: is the variable

n, n-1,3,2,1,0: they are the exponents

we have the following polynomials:

representing the dividend

representing the divisor

we solve the division, see attached image.

it is observed that the quotient is: and the rest is: .

the remainder when is divided by is.