Q. 5.1 Determine whether each polynomia... [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. 5.1 (page 489)

Determine whether each polynomial is a monomial, binomial, trinomial, or other polynomial. Then, find the degree of each polynomial $(a) - 5 (b) 8 y^{3} - 7 y^{2} - y - 3 (c) - 3 x^{2} y - 5 x y + 9 x y^{3} (d) 81 m^{2} - 4 n^{2} (e) - 3 x^{6} y^{3} z$

Short Answer

Expert verified

The result will be

$\begin{matrix} Polynomial & Type & Degree \\ a) & 鈭� 5 & Monomial & 0 \\ b) & 8 y^{3} 鈭� 7 y^{2} 鈭� y 鈭� 3 & Polynomial & 3 \\ c) & 鈭� 3 x^{2} y 鈭� 5 x y + 9 x y^{3} & Trinomial & 4 \\ d) & 81 m^{2} 鈭� 4 n^{2} & Binomial & 2 \\ e) & 鈭� 3 x^{6} y^{3} z & Monomial & 10 \end{matrix}$

Step by step solution

Step 1. Given information

The given polynomials are

$(a) - 5 (b) 8 y^{3} - 7 y^{2} - y - 3 (c) - 3 x^{2} y - 5 x y + 9 x y^{3} (d) 81 m^{2} - 4 n^{2} (e) - 3 x^{6} y^{3} z$

We have to determine whether each polynomial is a monomial, binomial, trinomial, or other polynomials.

Also, we have to determine the degree of each polynomial.

Step 2. Determine the number of terms

$\begin{matrix} Polynomial & \begin{array}{l} Numberof \\ terms \end{array} & Type \\ a) & 鈭� 5 & 1 & Monomial \\ b) & 8 y^{3} 鈭� 7 y^{2} 鈭� y 鈭� 3 & 4 & Polynomial \\ c) & 鈭� 3 x^{2} y 鈭� 5 x y + 9 x y^{3} & 3 & Trinomial \\ d) & 81 m^{2} 鈭� 4 n^{2} & 2 & Binomial \\ e) & 鈭� 3 x^{6} y^{3} z & 1 & Monomial \end{matrix}$

Step 3. Determine the degree

$\begin{matrix} Polynomial & \begin{array}{l} Degreeof \\ terms \end{array} & Degree \\ a) & 鈭� 5 & 0 & 0 \\ b) & 8 y^{3} 鈭� 7 y^{2} 鈭� y 鈭� 3 & 3, 2, 1, 0 & 3 \\ c) & 鈭� 3 x^{2} y 鈭� 5 x y + 9 x y^{3} & 3, 2, 4 & 4 \\ d) & 81 m^{2} 鈭� 4 n^{2} & 2, 2 & 2 \\ e) & 鈭� 3 x^{6} y^{3} z & 10 & 10 \end{matrix}$

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91影视

Determine whether each polynomial is a monomial, binomial, trinomial, or other polynomial. Then, find the degree of each polynomial $(a) - 5 (b) 8 y^{3} - 7 y^{2} - y - 3 (c) - 3 x^{2} y - 5 x y + 9 x y^{3} (d) 81 m^{2} - 4 n^{2} (e) - 3 x^{6} y^{3} z$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Determine the number of terms

Step 3. Determine the degree

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91影视

Determine whether each polynomial is a monomial, binomial, trinomial, or other polynomial. Then, find the degree of each polynomial (a)-5(b)8y3-7y2-y-3(c)-3x2y-5xy+9xy3(d)81m2-4n2(e)-3x6y3z

Short Answer

Step by step solution

Step 1. Given information

Step 2. Determine the number of terms

Step 3. Determine the degree

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Logic and Functions

Discrete Mathematics

Calculus

Theoretical and Mathematical Physics

Mechanics 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 $(a) - 5 (b) 8 y^{3} - 7 y^{2} - y - 3 (c) - 3 x^{2} y - 5 x y + 9 x y^{3} (d) 81 m^{2} - 4 n^{2} (e) - 3 x^{6} y^{3} z$