Q. 1 In the following exercises, dete... [FREE SOLUTION]

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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 1 (page 497)

In the following exercises, determine if the polynomial is a monomial, binomial, trinomial, or other polynomial.
$\begin{array}{l} (a) 47 x^{5} 鈭� 17 x^{2} y^{3} + y^{2} \\ (b) 5 c^{3} + 11 c^{2} 鈭� c 鈭� 8 \\ (c) \frac{5}{9} a b + \frac{1}{3} b \\ (d) 4 \\ (e) 4 p q + 17 \end{array}$

Short Answer

Expert verified

The type of the polynomials is $\begin{matrix} Polynomial & Type & Degree \\ a) & 47 x^{5} 鈭� 17 x^{2} y^{3} + y^{2} & Trinomial & 5 \\ b) & 5 c^{3} + 11 c^{2} 鈭� c 鈭� 8 & Polynomial & 3 \\ c) & \frac{5}{9} a b + \frac{1}{3} b & Binomial & 2 \\ d) & 4 & Monomial & 0 \\ e) & 4 p q + 17 & Binomial & 2 \end{matrix}$ $\begin{matrix} Polynomial & Type & Degree \\ a) & 47 x^{5} 鈭� 17 x^{2} y^{3} + y^{2} & Trinomial & 5 \\ b) & 5 c^{3} + 11 c^{2} 鈭� c 鈭� 8 & Polynomial & 3 \\ c) & \frac{5}{9} a b + \frac{1}{3} b & Binomial & 2 \\ d) & 4 & Monomial & 0 \\ e) & 4 p q + 17 & Binomial & 2 \end{matrix}$

Step by step solution

Step 1. Given information

The polynomial expressions given are

$\begin{array}{l} (a) 47 x^{5} 鈭� 17 x^{2} y^{3} + y^{2} \\ (b) 5 c^{3} + 11 c^{2} 鈭� c 鈭� 8 \\ (c) \frac{5}{9} a b + \frac{1}{3} b \\ (d) 4 \\ (e) 4 p q + 17 \end{array}$

Step 2. Determine the type of the polynomial

$\begin{matrix} Polynomial & Numberofterms & Type \\ a) & 47 x^{5} 鈭� 17 x^{2} y^{3} + y^{2} & 3 & Trinomial \\ b) & 5 c^{3} + 11 c^{2} 鈭� c 鈭� 8 & 4 & Polynomial \\ c) & \frac{5}{9} a b + \frac{1}{3} b & 2 & Binomial \\ d) & 4 & 1 & Monomial \\ e) & 4 p q + 17 & 2 & Binomial \end{matrix}$

Step 3. Determine the degree of the polynomial

$\begin{matrix} Polynomial & Degreeofterms & Degree \\ a) & 47 x^{5} 鈭� 17 x^{2} y^{3} + y^{2} & 5, 5, 2 & 5 \\ b) & 5 c^{3} + 11 c^{2} 鈭� c 鈭� 8 & 3, 2, 1, 0 & 3 \\ c) & \frac{5}{9} a b + \frac{1}{3} b & 2, 1 & 2 \\ d) & 4 & 0 & 0 \\ e) & 4 p q + 17 & 2 & 2 \end{matrix}$

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91影视

In the following exercises, determine if the polynomial is a monomial, binomial, trinomial, or other polynomial.
$\begin{array}{l} (a) 47 x^{5} 鈭� 17 x^{2} y^{3} + y^{2} \\ (b) 5 c^{3} + 11 c^{2} 鈭� c 鈭� 8 \\ (c) \frac{5}{9} a b + \frac{1}{3} b \\ (d) 4 \\ (e) 4 p q + 17 \end{array}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Determine the type of the polynomial

Step 3. Determine the degree of the polynomial

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91影视

In the following exercises, determine if the polynomial is a monomial, binomial, trinomial, or other polynomial.(a)47x5鈭�17x2y3+y2(b)5c3+11c2鈭�c鈭�8(c)59ab+13b(d)4(e)4pq+17

Short Answer

Step by step solution

Step 1. Given information

Step 2. Determine the type of the polynomial

Step 3. Determine the degree of the polynomial

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Pure Maths

Probability and Statistics

Decision Maths

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, determine if the polynomial is a monomial, binomial, trinomial, or other polynomial.
$\begin{array}{l} (a) 47 x^{5} 鈭� 17 x^{2} y^{3} + y^{2} \\ (b) 5 c^{3} + 11 c^{2} 鈭� c 鈭� 8 \\ (c) \frac{5}{9} a b + \frac{1}{3} b \\ (d) 4 \\ (e) 4 p q + 17 \end{array}$