en.wikipedia.org/wiki/Polynomial

In mathematics, a polynomial is an expression consisting of variables and
coefficients which only employs the operations of addition, subtraction,
multiplication, and non-negative integer exponents....

www.softschools.com/math/algebra/topics/classifying_polynomials/

For example: 2y<sup>5</sup>+ 7y<sup>3</sup>- 5y<sup>2</sup>+9y-2 ... 3x<sup>2</sup>-3x+1 3. 5y-10 4. 8xy 5. 3x<sup>4</sup>+x<sup>2</sup>-5x+9.
Answers: 1) Monomial 2) Trinomial 3) Binomial 4) Monomial 5) Polynomial 2.
Degree. The degree of the polynomial is found by looking at the term with the
highest ...

www.montereyinstitute.org/courses/DevelopmentalMath/TEXTGROUP-1-19_RESOURCE/U11_L3_T1_text_container.html

The examples so far have been limited to expressions such as 5x<sup>4</sup> + 3x<sup>3</sup> – 6x<sup>2</sup> +
2x ... An example of a polynomial with two variables is 4x<sup>2</sup>y – 2xy<sup>2</sup> + x – 7. ....
Terms. Sum of the Exponents. Degree of the Term. 7x<sup>2</sup>y. 2 + 1 = 3. 3. −3xy<sup>3</sup>. 1 + 3
... The polynomial 3xy<sup>3</sup>z<sup>2</sup> + 5xy<sup>3</sup>z<sup>2</sup> + 6x<sup>2</sup>y<sup>3</sup>z has like terms that can be combined
.

www.themathpage.com/aprecalc/polynomial.htm

This term 2xy<sup>2</sup>z<sup>3</sup> is of degree 1 + 2 + 3 = 6 in the variables x, y, and z. ... the
degree, the leading coefficient, and the constant term of (5x + 1)(3x − 1)(2x + 5)<sup>3</sup>.

people.richland.edu/james/lecture/m116/sequences/binomial.html

A binomial is a polynomial with two terms. ... (x+y)<sup>5</sup> = x<sup>5</sup> + 5x<sup>4</sup>y + 10x<sup>3</sup>y<sup>2</sup> +10x<sup>2</sup>y
<sup>3</sup> + 5xy<sup>4</sup> + y<sup>5</sup> ... There are n+1 terms in the expansion of (x+y)<sup>n</sup>; The degree of
each term is n; The powers on x begin with n and decrease to 0; The ... 1(243x<sup>5</sup>)(
1) + 5(81x<sup>4</sup>)(-2y) + 10(27x<sup>3</sup>)(4y<sup>2</sup>) + 10(9x<sup>2</sup>)(-8y<sup>3</sup>) + 5(3x)(16y<sup>4</sup>) + 1(1)(-32y<sup>5</sup>).

examples.yourdictionary.com/examples-of-monomial.html

3x + 1, 2x<sup>3</sup> - 5x, x<sup>4</sup> - 4, x - 19 are examples of binomials. ... The degree of the
polynomial 7x<sup>3</sup> - 4x<sup>2</sup> + 2x + 9 is 3, because the highest power of the variable “x”
is ...

math.ucsd.edu/~doprea/final-practice-sol.pdf

f(x, y)=2x3 − 3x2y − 12x2 − 3y2 ... (3 + 2y2 − 4y)=0 =⇒ 4y − 4=0 =⇒ y = 1 with f(−
1,1) = 1 . .... (i) Compute the second degree Taylor polynomial of the function.

www.universalclass.com/articles/math/algebra/working-with-polynomials.htm

The degree of a polynomial is the same as the greatest of the degrees of its terms
. ... (3x<sup>3</sup>y + 4x<sup>2</sup>y<sup>2</sup> + 2y<sup>2</sup>) + (7x<sup>3</sup> + 5x<sup>3</sup>y + 2xy) + (2x<sup>2</sup>y<sup>2</sup> + 9x<sup>2</sup>y + 4y<sup>2</sup>).

www.mathamazement.com/Lessons/Pre-Calculus/00_Prerequisites/polynomials.html

Examples of monomials are 1, -4, x, 3x<sup>2</sup>, -5xy, 2xyz, -x<sup>2</sup>y<sup>2</sup>, and πyz<sup>3</sup>. The degree
of a ... The degree of a polynomial is the maximum degree of its monomials.

math.tutorvista.com/algebra/degree-of-a-polynomial.html

For example, 2x<sup>4</sup> - 3x<sup>3</sup> + 5, x<sup>2</sup>y<sup>2</sup> + 1 + xy are the polynomials of degree 4. ...
Question 2: Find the degree of the polynomial 5x<sup>2</sup>y<sup>4</sup> + 2xy<sup>3</sup> + 8y<sup>2</sup> + 2y + x<sup>3</sup> + 1