Question

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

(i) $5xy{z}^2-3zy$

(ii) $1+x+x^2$

(iii) $4x^2{y}^2-4x^2{y}^2{z}^2+z^2$

(iv) $3-pq+qr-rp$

(v) $\frac{x}{2}+\frac{y}{2}-xy$

(vi) $0.3a-0.6ab+0.5b$

Answer 1

The terms and the respective coefficients of the given expressions are as follows.

$\text{SI no.}$	$\text{Expressions}$	$\text{Terms}$	$\text{Coefficients}$
$\left(i\right)$	$5xy{z}^2-3zy$	$5xy{z}^2$ $-3zy$	$5$ $-3$
$\left(ii\right)$	$1+x+x^2$	$1$ $x$ $x^2$	$1$ $1$ $1$
$\left(iii\right)$	$4x^2{y}^2-4x^2{y}^2{z}^2+z^2$	$4x^2{y}^2$ $-4x^2{y}^2{z}^2$ $z^2$	$4$ $-4$ $1$
$\left(iv\right)$	$3-pq+qr-rp$	$3$ $-pq$ $qr$ $-rp$	$3$ $-1$ $1$ $-1$
$\left(v\right)$	$\frac{x}{2}+\frac{y}{2}-xy$	$\frac{x}{2}$ $\frac{y}{2}$ $-xy$	$\frac{1}{2}$ $\frac{1}{2}$ $-1$
$\left(vi\right)$	$0.3a-0.6ab+0.5b$	$0.3a$ $-0.6ab$ $0.5b$	$0.3$ $-0.6$ $0.5$