Q. 5.2 Determine whether each polynomia... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 5.2 (page 490)

Determine whether each polynomial is a monomial, binomial, trinomial, or other polynomial. Then, find the degree of each polynomial
$(a) 64 k^{3} - 8 (b) 9 m^{3} + 4 m^{2} - 2 (c) \frac{5}{6} (d) 8 a^{4} - 7 a^{3} b - 6 a^{2} b^{2} - 4 a b^{3} + 7 b^{4} (e) - p^{4} q^{3}$

Short Answer

Expert verified

The result will be

$\begin{matrix} Polynomial & Type & Degree \\ a) & 64 k^{3} 鈭� 8 & Binomial & 3 \\ b) & 9 m^{3} + 4 m^{2} 鈭� 2 & Trinomial & 3 \\ c) & \frac{5}{6} & Monomial & 0 \\ d) & 8 a^{4} 鈭� 7 a^{3} b 鈭� 6 a^{2} b^{2} 鈭� 4 a b^{3} + 7 b^{4} & Polynomial & 4 \\ e) & 鈭� p^{4} q^{3} & Monomial & 7 \end{matrix}$

Step by step solution

Step 1. Given information

$\begin{matrix} Polynomial & \begin{array}{l} Numberof \\ terms \end{array} & Type \\ a) & 64 k^{3} 鈭� 8 & 2 & Binomial \\ b) & 9 m^{3} + 4 m^{2} 鈭� 2 & 3 & Trinomial \\ c) & \frac{5}{6} & 1 & Monomial \\ d) & 8 a^{4} 鈭� 7 a^{3} b 鈭� 6 a^{2} b^{2} 鈭� 4 a b^{3} + 7 b^{4} & 5 & Polynomial \\ e) & 鈭� p^{4} q^{3} & 1 & Monomial \end{matrix}$

Step 2. Determine the number of terms

$\begin{matrix} Polynomial & \begin{array}{l} Degreeof \\ terms \end{array} & Degree \\ a) & 64 k^{3} 鈭� 8 & 3, 0 & 3 \\ b) & 9 m^{3} + 4 m^{2} 鈭� 2 & 3, 2, 0 & 3 \\ c) & \frac{5}{6} & 0 & 0 \\ d) & 8 a^{4} 鈭� 7 a^{3} b 鈭� 6 a^{2} b^{2} 鈭� 4 a b^{3} + 7 b^{4} & 4, 4, 4, 4, 4 & 4 \\ e) & 鈭� p^{4} q^{3} & 7 & 7 \end{matrix}$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Determine whether each polynomial is a monomial, binomial, trinomial, or other polynomial. Then, find the degree of each polynomial
$(a) 64 k^{3} - 8 (b) 9 m^{3} + 4 m^{2} - 2 (c) \frac{5}{6} (d) 8 a^{4} - 7 a^{3} b - 6 a^{2} b^{2} - 4 a b^{3} + 7 b^{4} (e) - p^{4} q^{3}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Determine the number of terms

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Theoretical and Mathematical Physics

Logic and Functions

Mechanics Maths

Discrete Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

91影视

Determine whether each polynomial is a monomial, binomial, trinomial, or other polynomial. Then, find the degree of each polynomial(a)64k3-8(b)9m3+4m2-2(c)56(d)8a4-7a3b-6a2b2-4ab3+7b4(e)-p4q3

Short Answer

Step by step solution

Step 1. Given information

Step 2. Determine the number of terms

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Theoretical and Mathematical Physics

Logic and Functions

Mechanics Maths

Discrete Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

Determine whether each polynomial is a monomial, binomial, trinomial, or other polynomial. Then, find the degree of each polynomial
$(a) 64 k^{3} - 8 (b) 9 m^{3} + 4 m^{2} - 2 (c) \frac{5}{6} (d) 8 a^{4} - 7 a^{3} b - 6 a^{2} b^{2} - 4 a b^{3} + 7 b^{4} (e) - p^{4} q^{3}$