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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) (e) − ab + 2b2 − 3a2

(ii) Identify terms and factors in the expressions given below:

(a) − 4x + 5 (b) − 4x + 5y (c) 5y + 3y2

(d) (e) pq + q

(f) 1.2 ab − 2.4 b + 3.6 a (g)

(h) 0.1p2 + 0.2 q2

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Solution

(i)

(a)

(b)

(c)

(d)

(e)

(ii)

Row

Expression

Terms

Factors

(a)

− 4x + 5

− 4x

5

− 4, x

5

(b)

− 4x + 5y

− 4x

5y

− 4, x

5, y

(c)

5y + 3y2

5y

3y2

5, y

3, y, y

(d)

xy + 2x2y2

xy

2x2y2

x, y

2, x, x, y, y

(e)

pq + q

pq

q

p, q

q

(f)

1.2ab − 2.4b + 3.6a

1.2ab

− 2.4b

3.6a

1.2, a, b

− 2.4, b

3.6, a

(g)

(h)

0.1p2 + 0.2q2

0.1p2

0.2q2

0.1, p, p

0.2, q, q


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