Question

Question 3

Identify the numerical coefficients of terms (other than constants) in the following expressions:

(i) $5-3t^2$

(ii) 1 + t + t² + t³

(iii) x + 2xy + 3y

(iv) 100m + 1000n

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

(vi) 1.2a + 0.8b

(vii) $3.14r^2$

(viii) 2(l + b)

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

Answer 1

$\begin{array}{cccc}S.NO.& Expression& Terms& NumericalCoefficient\\ \left(i\right)& 5-3t^2& -3t^2& -3\\ \left(ii\right)& 1+t+t^2+t^3& t& 1\\ & & t^2& 1\\ & & t^3& 1\\ \left(iii\right)& x+2xy+3y& x& 1\\ & & 2xy& 2\\ & & 3y& 3\\ \left(iv\right)& 100m+1000n& 100m& 100\\ & & 1000n& 1000\\ \left(v\right)& -p^2{q}^2+7pq& -p^2{q}^2& -1\\ & & 7pq& 7\\ \left(vi\right)& 1.2a+0.8b& 1.2a& 1.2\\ & & 0.8b& 0.8\\ \left(vii\right)& 3.14r^2& 3.14r^2& 3.14\\ \left(viii\right)& 2(l+b)=2l+2b& 2l& 2\\ & & 2b& 2\\ \left(ix\right)& 0.1y+0.01y^2& 0.1y& 0.1\\ & & 0.01y^2& 0.01\end{array}$