Answer :
The given expression looks as
x2 + (a + b)x + ab
where a + b = 9; and ab = 18;
factors of 18 their sum
1 × 18 1 + 18 = 19
9 × 2 2 + 9 = 11
6 × 3 6 + 3 = 9
∴ the factors having sum 9 are 6 and 3
x2 + 9x + 18 = x2 + (6 + 3)x + 18
= x2 + 6x + 3x + 18
= x(x + 6) + 3(x + 6)
= (x + 6)(x + 3)
Hence the factors of x2 + 9x + 18 are (x + 6) and (x + 3)
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