Identify the terms, their coefficients for each of the following expre

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»

(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

(v) \(\frac{a}{2}+\frac{b}{2}-ab\)

(vi) 0.2x-0.3xy+0.5y