Question

In the following exercises, determine if the polynomial is a monomial, binomial, trinomial, or other polynomial. (a) $11 y^2$ (b) -73 (c) $6 x^2-3 x y+4 x-2 y+y^2$ (d) $4 y^2+17 z^2$ (e) $5 c^3+11 c^2-c-8$ 

   In the following exercises, determine if the polynomial is a monomial, binomial, trinomial, or other polynomial. 
(a) $11 y^2$
(b) -73
(c) $6 x^2-3 x y+4 x-2 y+y^2$
(d) $4 y^2+17 z^2$
(e) $5 c^3+11 c^2-c-8$
Intermediate Algebra
Intermediate Algebra
Lynn Marecek 1st Edition
Chapter 5, Problem 4 ↓
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In the following exercises, determine if the polynomial is a monomial, binomial, trinomial, or other polynomial. (a) $11 y^2$ (b) -73 (c) $6 x^2-3 x y+4 x-2 y+y^2$ (d) $4 y^2+17 z^2$ (e) $5 c^3+11 c^2-c-8$
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Transcript

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00:01 In this problem, we're asked to determine if each of the following polynomials is a monomial, a binomial, a trinomial, or another polynomial.
00:10 And a polynomial is a mathematical expression made up of one or more terms, and a term is a number, a variable, or a number times one or more variables.
00:22 And the words monomial, binomial, trinomial, those are names for specific types of polynomials.
00:33 And so a monomial is a polynomial made up of one term.
00:38 A binomial is a polynomial made up of two terms.
00:42 And a trinomial is a polynomial made up of three terms.
00:46 And so in part a, we're given 11 y squared.
00:50 And our first step is to determine the number of terms in the polynomial.
00:56 And so a term can be a number times a variable.
01:01 And so this is just one term, making this a monomio.
01:11 In part b, we have negative 73.
01:15 And a number can also be a term all by itself...
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