Question

In the following exercises, determine if the polynomial is a monomial, binomial, trinomial, or other polynomial. (a) $8 y-5 x$ (b) $y^2-5 y z-6 z^2$ (c) $y^3-8 y^2+2 y-16$ (d) $81 a b^4-24 a^2 b^2+3 b$ (E) -18 

   In the following exercises, determine if the polynomial is a monomial, binomial, trinomial, or other polynomial. 
(a) $8 y-5 x$
(b) $y^2-5 y z-6 z^2$
(c) $y^3-8 y^2+2 y-16$
(d) $81 a b^4-24 a^2 b^2+3 b$
(E) -18
Intermediate Algebra
Intermediate Algebra
Lynn Marecek 1st Edition
Chapter 5, Problem 3 ↓
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In the following exercises, determine if the polynomial is a monomial, binomial, trinomial, or other polynomial. (a) $8 y-5 x$ (b) $y^2-5 y z-6 z^2$ (c) $y^3-8 y^2+2 y-16$ (d) $81 a b^4-24 a^2 b^2+3 b$ (E) -18
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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.
00:16 And the term is either a number, a variable, or a number times one or more variables.
00:24 And the words monomial, binomial, trinomial, those are names for certain types of polynomial.
00:31 Polynomials.
00:33 And so monomial is going to be 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.
00:47 And so in part a, we're given 8 minus 3x.
00:51 And our first step is to determine the number of terms we have in the polynomial.
00:58 And so our first term is going to be 8.
01:02 And our second term is 3x.
01:06 So this polynomial has two terms, making it a binomial.
01:14 In part b, we're given z squared minus 5 z minus 6, and our first term is going to be z squared...
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