Question

Identify the terms, their coefficients for each of the following expressions.

(i) \(7x^{2}yz-5xy\)

(ii) \(x^{2}+x+1\)

(iii) \(3x^{2}y^{2}-5x^{2}y^{2}z^{2}+z^{2}\)

(iv) 9-ab+bc-ca

(v) \(\frac{a}{2}+\frac{b}{2}-ab\)

(vi) 0.2x-0.3xy+0.5y

Answer 1

(i) \(7x^{2}yz-5xy\)

This equation consists of two terms that are:

\(7x^{2}yz\) and \(-5xy\)

The coefficient of \(7x^{2}yz\) is 7

The coefficient of – 5xy is –5

(ii) \(x^{2}+x+1\)

This equation consists of three terms that are:

\(x^{2},x,1\)

The coefficient of \(x^{2}\) is 1

The coefficient of x is 1

The coefficient of 1 is 1

(iii) \(3x^{2}y^{2}-5x^{2}y^{2}z^{2}+z^{2}\)

This equation consists of three terms that are:

\(3x^{2}y,-5x^{2}y^{2}z^{2}\) and \(z^{2}\)

The coefficient of \(3x^{2}y\) is 3

The coefficient of \(-5x^{2}y^{2}z^{2}\) is -5

The coefficient of \(z^{2}\) is 1

(iv) 9-ab+bc-ca

The term	Coefficient
9	9
-ab	-1
bc	1
ca	-1

 (v)  \(\frac{a}{2}+\frac{b}{2}-ab\) 

The term	Coefficient
\(\frac{a}{2}\)	1
\(\frac{b}{2}\)	1
-ab	1

(vi) 0.2x-0.3xy+0.5y

The term	Coefficient
0.2x	0.2
-0.3xy	-0.3
0.5y	0.5