Question

In the following exercises, determine if the polynomial is a monomial, binomial, trinomial, or other polynomial. (a) $x^2-y^2$ (b) $-13 c^4$ (c) $a^2+2 a b-7 b^2$ (d) $4 x^2 y^2-3 x y+8$ (e) 19 

   In the following exercises, determine if the polynomial is a monomial, binomial, trinomial, or other polynomial. 
(a) $x^2-y^2$
(b) $-13 c^4$
(c) $a^2+2 a b-7 b^2$
(d) $4 x^2 y^2-3 x y+8$
(e) 19
Intermediate Algebra
Intermediate Algebra
Lynn Marecek 1st Edition
Chapter 5, Problem 2 ↓
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In the following exercises, determine if the polynomial is a monomial, binomial, trinomial, or other polynomial. (a) $x^2-y^2$ (b) $-13 c^4$ (c) $a^2+2 a b-7 b^2$ (d) $4 x^2 y^2-3 x y+8$ (e) 19
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Transcript

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00:01 Hello, so here for part a, while we have the polynomial, we just have x squared minus y squared.
00:09 So here we have two terms.
00:10 So therefore, we are a binomial.
00:14 And while the degrees, the highest power, so which is two.
00:17 So we have a second degree binomial.
00:20 For part b, we have just negative 13c to the fourth.
00:26 So negative 13c to the fourth is just one term.
00:29 We're just multiplying stuff here.
00:31 So therefore, this is a monomial, a monomial, just one term.
00:36 And the degree is, well, the highest power.
00:40 So the degree here is equal to four.
00:44 And then for part c, we have a squared plus 2ab.
00:50 So a squared plus 2ab...
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