Simplify the expression. What classification describes the resulting polynomial?
(x2 + 7x) + (2x2 − 7x)
A.
quadratic binomial
B.
linear monomial
C.
linear binomial
D.
quadratic monomial
Answers
Step-by-step explanation:
Monomials and polynomials
A monomial is a number, a variable or a product of a number and a variable where all exponents are whole numbers. That means that
42,5x,14x12,2pq
all are examples of monomials whereas
4+y,5y,14x,2pq−2
are not since these numbers don't fulfill all criteria.
The degree of the monomial is the sum of the exponents of all included variables. Constants have the monomial degree of 0.
If we look at our examples above we can see that
Monomial Degree
42 0
5x 0 + 1 = 1
14x12 0 + 12 = 12
2pq 0 + 1 + 1 = 2
A polynomial as oppose to the monomial is a sum of monomials where each monomial is called a term. The degree of the polynomial is the greatest degree of its terms. A polynomial is usually written with the term with the highest exponent of the variable first and then decreasing from left to right. The first term of a polynomial is called the leading coefficient.
4x5+2x2−14x+12
Polynomial just means that we've got a sum of many monomials. If we have a polynomial consisting of only two terms we could instead call it a binomial and a polynomial consisting of three terms can also be called a trinomial.
We can add polynomials. We just add the like terms to combine the two polynomials into one.
Answer:
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