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Identify the terms, their coefficients for each of the following expressions.
(i) 5xyz^{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) x/2 + y/2 - xy
(vi) 0.3a - 0.6ab + 0.5b
Solution:
The numerical factor of a term is called its numerical coefficient or simply coefficient.
The terms and the respective coefficients of the given expressions are as follows.
- | Terms | Coefficients |
(i) |
5xyz^{2} -3zy |
5 -3 |
(ii) |
1 x x^{2} |
1 1 1 |
(iii) |
4x^{2}y^{2} -4x^{2}y^{2}z^{2} z^{2} |
4 -4 1 |
(iv) |
3 -pq qr -rp |
3 -1 1 -1 |
(v) |
x/2 y/2 -xy |
1/2 1/2 -1 |
(vi) |
0.3a -0.6ab 0.5b |
0.3 -0.6 0.5 |
☛ Check: NCERT Solutions for Class 8 Maths Chapter 9
Video Solution:
Identify the terms, their coefficients for each of the following expressions. (i) 5xyz² - 3zy (ii) 1 + x + x²^{ }(iii) 4x²y² - 4x²y²z² + z²^{ }(iv) 3 - pq + qr - rp (v) x/2 + y/2 - xy (vi) 0.3a - 0.6ab + 0.5b
Maths NCERT Solutions Class 8 Chapter 9 Exercise 9.1 Question 1
Summary:
The terms and coefficients for the follwoing expressions (i) 5xyz^{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) x/2 + y/2 - xy (vi) 0.3a - 0.6ab + 0.5b are (i) Terms: 5xyz^{2} , - 3zy, Coefficients: 5 and -3 (ii) Terms: 1, x, x^{2}, Coefficients: 1, 1 and 1 (iii) Terms: 4x^{2}y^{2} , - 4x^{2}y^{2}z^{2}, z^{2}, Coefficients: 4, -4 and 1 (iv) Terms: 3, - pq, + qr, - rp, Coefficients: 3, -1, 1, and -1 (v) Terms: x/2, y/2, - xy, Coefficients: 1/2, 1/2 and -1 (vi) Terms: 0.3a, - 0.6ab, 0.5b, Coefficient: 0.3, -0.6, and 0.5
☛ Related Questions:
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