Question

1. Write in standard form then classify each of the following polynomials by term and degree.

Write the answer in the following form:
Standard Form Degree Term
(3 Points)
- 7 - 8k - 4k^2-4k^3

Answer 1

To write a polynomial in standard form, you write starting with the term with the highest degree, or exponent (in this case, the
x
2
term), and then in decreasing order. Since the
x
2
term is the term with the highest degree:
2
x
2
+
x
To classify a polynomial by degree, you look at the highest exponent, or degree. Since 2 is the highest exponent (
2
x
2
), it is a quadratic. Here are the first few:
Highest Exponent:
1
- linear
2
- quadratic
3
- cubic
4
- quartic
5
- quintic
To classify a polynomial by the number of terms, count how many terms are in the polynomial: In this polynomial, there are two terms,
2
x
2
and
x
. So, this is a binomial.
1 term- monomial
2 terms- binomial
3 terms- trinomial
4+ terms- polynomial