Mathematics
In -5p2q3r4, write down the coefficient of:
(i) p2
(ii) 5pq2
(iii) p2q2
(iv) pqr
(v) -pq2r3
(vi) 5q3r
Answer
(i) p2
Coefficient of p2:
Divide the original expression by p2 then
-5p2q3r4 ÷ p2
= -5q3r4
∴ Coefficient of p2 is -5q3r4
(ii) 5pq2
Coefficient of 5pq2:
Divide the original expression by 5pq2 then
-5p2q3r4 ÷ 5pq2
= -pqr4
∴ Coefficient of 5pq2 is -pqr4
(iii) p2q2
Coefficient of p2q2:
Divide the original expression by p2q2 then
-5p2q3r4 ÷ p2q2
= -5qr4
∴ Coefficient of p2q2 is -5qr4
(iv) pqr
Coefficient of pqr:
Divide the original expression by pqr then
-5p2q3r4 ÷ pqr
= -5pq2r3
∴ Coefficient of pqr is -5pq2r3
(v) -pq2r3
Coefficient of -pq2r3:
Divide the original expression by -pq2r3 then
-5p2q3r4 ÷ -pq2r3
= 5pqr
∴ Coefficient of -pq2r3 is 5pqr
(vi) 5q3r
Coefficient of 5q3r:
Divide the original expression by 5q3r then
-5p2q3r4 ÷ 5q3r
= -p2r3
∴ Coefficient of 5q3r is -p2r3
Related Questions
Generate algebraic expressions for the following:
(i) The product of a and b added to their sum.
(ii) The quotient of x by 8 is multiplied by y.
(iii) Thrice x added to y squared.
(iv) One-third of x multiplied by the sum of p and q.
(v) The number to be added to x + y to make it equal to p.
(vi) From a rod (p + q) units in length, n equal pieces are cut. Find the length of each piece.
(vii) Five times m subtracted from the sum of p and thrice x.
(viii) The number obtained when m times the difference of x and y is subtracted from n times the sum of x and y.
(ix) The sum of 7 numbers each equal to p.
(x) The product of three numbers a, b and c subtracted from the sum of x and y.