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Question:

Identify the terms, their coefficients for each of the following expressions: (i) 5xyz² + zy (ii) 1 + x + x² (iii) 4x²y² + x²y²z² + z² (iv) 3 - pq + qr - rp (v) x² + y² - xy (vi) 0.3a + 4.6ab + 0.5b

Solution:

Expression Terms Coefficients
5xyz² + zy 5xyz², zy 5, 1
1 + x + x² 1, x, x² No coefficient, 1, 1
4x²y² + x²y²z² + z² 4x²y², x²y²z², z² 4, 1, 1
3 - pq + qr - rp 3, -pq, qr, -rp No coefficient, -1, 1, -1
x² + y² - xy x², y², -xy 1, 1, -1
0.3a + 4.6ab + 0.5b 0.3a, 4.6ab, 0.5b 0.3, 4.6, 0.5