Expand (n+5)^2 by rewriting the expression a multiplication of n 5 by itself and using the FOIL
1 answer:
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Answer:
2 000 miles
Step-by-step explanation:
In the first year, Mr James travels 8 x miles = 8 000 miles.
The second year, he traveled 1 x miles = 10 000 miles.
Comparing the distance covered in the two years,
10 000 miles - 8 000 miles = 2 000 miles
Therefore, Mr James travels 2 000 more miles in the second year than he did the first year.
Let's assume that Mr James conveys himself to his place of work all through the first year in his private car. But in the second year, there were some days in which the car was not available. So he had to go for his job by public transportation. This itch during those days, could cause an increase in the distance covered from his home to his place of work for the second year.
Answer: the option C. c) 9x⁴– x³– ...
Explanation:
1) A polynomial of one variable is an expression of the kind:
2) The order of the polynomial is the highest exponent of the variable, this is n
3) When the expression has one term it is called a monomial, when the expression has two terms it is called a binomial, when the expression has 3 terms it is called a trinomial.
Usually expressions of that kind with two or more terms are referred as polynomial, but one term is referred as monomial.
4) For the given expressions you have:
a) 5x⁴: it is a monomial (one term), which is usually not referred as polynomial properly.
b) x⁵ – 6x⁴ + 14x³ + x²: it is a polynomial with degree 5 (the highest power).
c) 9x⁴– x³– ... : altough the expression is incomplete, assuming that the next terms are monomials with degree less than 4, then this is a polynomial with degree 4, and is the right answer choice.
d) 2x⁴ – 6x⁴: since both terms have the same power, they can be simplified into one term, - 4x⁴, and it is a monomial.