Complete the following tables. 1. Coefficient of Polynomial Constant term ху xy? (a) x + 8x? - 3x + 2 (b) 1-4x + 11xy-5x (c) xy - 6xy – 8x (d) - 2xy + 10x - 4x³– 17

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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4.
x* -x -1
5.
7. -
8.
2 of 4
3. Class practice
Learning objective 2:1 am able to find the number of terms, the coefficient of a team, the
constant term and the degree of a polynomial.
In a polynomial, the coefficient of a term is the numerical part multiplied by the
variable(s) of the term. A term without any variables is called a constant term.
e.g. Consider the polynomial 2r’ – 5x + 3xy – 6.
21
- 5x
+ 3xy
-6
The coefficient of 2x° is 2.
The coefficient of -5x is –5.
The cocfficient of 3xy is J.
The constant term is -6.
The degree of a monomial is the sum of the indices of all the variables. The degree
of a constant term is defined es 0.
Remind studeuts that the degree of x is I.
eg. (a) The degree of 3x is 2.
Degree = index of x
= 2
(b) The degree of –7x'y is 4. Degree = index of x+ index of y
=3+1
= 4
(c) The degree of -5 is 0.
The degree of a constant term is 0.
Notice : The degree of a polynomial is the highest degree of the term of the polynomial.
Complete the following tables.
1.
Coefficient of
Polynomial
Constant term
ху
xy?
(a) x + 8x? – 3x + 2
(b) 1-4x + 11xy – 5x
(c) xy – 6xy – 8x
(d) - 2xy + 10x – 4x3 – 17
Transcribed Image Text:4. x* -x -1 5. 7. - 8. 2 of 4 3. Class practice Learning objective 2:1 am able to find the number of terms, the coefficient of a team, the constant term and the degree of a polynomial. In a polynomial, the coefficient of a term is the numerical part multiplied by the variable(s) of the term. A term without any variables is called a constant term. e.g. Consider the polynomial 2r’ – 5x + 3xy – 6. 21 - 5x + 3xy -6 The coefficient of 2x° is 2. The coefficient of -5x is –5. The cocfficient of 3xy is J. The constant term is -6. The degree of a monomial is the sum of the indices of all the variables. The degree of a constant term is defined es 0. Remind studeuts that the degree of x is I. eg. (a) The degree of 3x is 2. Degree = index of x = 2 (b) The degree of –7x'y is 4. Degree = index of x+ index of y =3+1 = 4 (c) The degree of -5 is 0. The degree of a constant term is 0. Notice : The degree of a polynomial is the highest degree of the term of the polynomial. Complete the following tables. 1. Coefficient of Polynomial Constant term ху xy? (a) x + 8x? – 3x + 2 (b) 1-4x + 11xy – 5x (c) xy – 6xy – 8x (d) - 2xy + 10x – 4x3 – 17
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