Question

In the following exercises, determine if the polynomial is a monomial, binomial, trinomial, or other polynomial. (a) $15 x y$ (b) 15 (c) $6 x^2-3 x y+4 x-2 y+y^2$ (d) $10 p-9 q$ (e) $m^4+4 m^3+6 m^2+4 m+1$

   In the following exercises, determine if the polynomial is a monomial, binomial, trinomial, or other polynomial. 
(a) $15 x y$
(b) 15
(c) $6 x^2-3 x y+4 x-2 y+y^2$
(d) $10 p-9 q$
(e) $m^4+4 m^3+6 m^2+4 m+1$
Intermediate Algebra
Intermediate Algebra
Lynn Marecek 1st Edition
Chapter 5, Problem 8 ↓
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In the following exercises, determine if the polynomial is a monomial, binomial, trinomial, or other polynomial. (a) $15 x y$ (b) 15 (c) $6 x^2-3 x y+4 x-2 y+y^2$ (d) $10 p-9 q$ (e) $m^4+4 m^3+6 m^2+4 m+1$
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Transcript

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00:01 So this question wants me to indicate whether it's a monomial, binomial, trinomial, or another polynomial, and then indicate the degree.
00:08 So it's going to be 15xy.
00:11 That is one term, so it's a monomial.
00:15 And now for my degree, you're going to actually add those exponents, so x to the first and y the first would be a degree of 2.
00:21 So that would be called a quadratic.
00:26 Next one is just 15.
00:28 That's a monomial again.
00:31 Now that has a degree of 0.
00:33 Call that constant...
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