Question

In the following exercises, determine if the polynomial is a monomial, binomial, trinomial, or other polynomial. (a) $9 y^3-10 y^2+2 y-6$ (b) $-12 p^3 q$ (c) $a^2+9 a b+18 b^2$ (d) $20 x^2 y^2-10 a^2 b^2+30$ (e) 17 

   In the following exercises, determine if the polynomial is a monomial, binomial, trinomial, or other polynomial. 
(a) $9 y^3-10 y^2+2 y-6$
(b) $-12 p^3 q$
(c) $a^2+9 a b+18 b^2$
(d) $20 x^2 y^2-10 a^2 b^2+30$
(e) 17
Intermediate Algebra
Intermediate Algebra
Lynn Marecek 1st Edition
Chapter 5, Problem 6 ↓
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In the following exercises, determine if the polynomial is a monomial, binomial, trinomial, or other polynomial. (a) $9 y^3-10 y^2+2 y-6$ (b) $-12 p^3 q$ (c) $a^2+9 a b+18 b^2$ (d) $20 x^2 y^2-10 a^2 b^2+30$ (e) 17
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Transcript

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00:01 So these questions i'm going to determine if it's a monomial, binomial, or trinomial, or another polynomial, and then indicate the degree.
00:07 So let's look at the first one.
00:09 9y cubed minus 10 y squared plus 2y minus 6.
00:15 I has 1, 2, 3, 4 terms.
00:18 So we would just call that a polynomial.
00:22 My highest degree is 3, so that would be a cubic.
00:26 So it would be a cubic polynomial.
00:28 The next one will be negative 12 p cubed q.
00:35 Now this just only has one term, so it's called a monomial.
00:41 And for the degree, i would add up my exponents since they're being multiplied.
00:47 So i would have p to third and q to the first would be fourth degree.
00:53 And we call that a quartic.
00:56 So it would be a quartic monomial...
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