Identify the numerical coefficients of terms (other than constants) in the following expressions:
$(i)$. $5-3t^2$
$(ii)$. $ 1+t+t^{2}+t^3$
$(iii)$ . $x+2xy+3y$
$(iv)$. $100m+1000n$
$(v)$. $-p^2-q^{2}+7pq$
$(vi)$. $1.2a+0.8b$
$(viii)$. $3.14r^2$
$(viii)$. $2(l+b)$
$(ix)$. $0.1y+0.01y^2$

Given: $(i)$. $5-3t^2$


$(ii)$. $ 1+t+t^{2}+t^3$


$(iii)$ . $x+2xy+3y$


$(iv)$. $100m+1000n$


$(v)$. $-p^2q^{2}+7pq$


$(vi)$. $1.2a+0.8b$


$(viii)$. $3.14r^2$


$(viii)$. $2(l+b)$


$(ix)$. $0.1y+0.01y^2$


To do: To identify the numerical coefficients of terms $(other\ than\ constants)$ in the given expressions.


Solution: $(i)$. $-3$ is the coefficient of $t^2$.


$(ii)$. $1$,$1$ and $1$ are $t$he coefficients of $t$, $t^2$ and $t^3$.

$(iii)$. $1$,$2$ and $3$ are the coefficients of $x,\ xy$ and $y$.

$(iv)$. $100$ and $1000$ are the coefficients of $m$ and $n$.

$(v)$. $-1$ and 7 are $t$he coefficien$t$s of $p^2q^2$ and $pq$.

$(vi)$. $1.2$ and $0.8$ are the coefficients of $a$ and $b$.

$(vii)$. $3.14$ is the coefficient of $r^2$

$(viii)$. $2$ and $2$ are $t$he coefficien$t$s of $l$ and $b$.

$(ix)$. $0.1$ and $0.01$ are $t$he coefficients of $y$ and $y^2$.

Updated on: 10-Oct-2022

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