Question

(i) Identify the terms and their factors in the following expressions Show the terms and factors by tree diagrams.
(a) x – 3 (b) 1 + x + x² (c) y – y³ (d) 5xy² + 7x²y (e) – ab + 2b² – 3a²
(ii) Identify terms and factors in the expressions given below:
(a) – 4x + 5 (b) – 4x + 5y (c) 5y + 3y² (d) xy + 2x2y² (e) pq + q (f) 1.2 ab – 2.4 b + 3.6 a (g) \(\frac{3}{4}\) x + \(\frac{1}{4}\) (h) 0.1 p² + 0.2 q²

Answer 1

(i) 
(a)x-3 Expression Terms Factors
(b) 1+x+x² Expression Terms Factors
(c) y-y³ Expression Terms Factors
(d) 5xy²+7x²y Expression Terms Factors
(e) -ab+2b²-3a² Expression Terms Factors

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(ii) 
(a) -4x+5 Terms: -4x , 5 Factors: -4 , x ; 5
(b) -4x+5y Terms: -4x ,5y Factors: -4, x; 5 , y
(c) 5y + 3y² Terms: 5y, 3y² Factors: 5,y ; 3,y,y
(d) xy + 2x 2y² Terms: xy, 2x²y² Factors: x,y ; 2x, x, y, y
(e) pq + q Terms: pq, q Factors: p,q ; q
(f) 1.2 ab – 2.4 b + 3.6 a Terms: 1.2ab, - 2.4,3.6a Factors: 1.2a,b, ; -2.4,b; 3.6,a
(g) \(\frac{3}{4}\)x+\(\frac{1}{4}\) Terms: \(\frac{3}{4}\)x, \(\frac{1}{4}\) Factors: \(\frac{3}{4}\)x;\(\frac{1}{4}\)
(h) (h) 0.1 p² + 0.2 q² Terms: 0.1p2,0.2q² Factors: 0.1,p,p;0.²,q,q