Answer :
The given expression looks as
x2 + (a + b)x + ab
where a + b = -10; and ab = 21;
factors of 21 their sum
-1 × -21 -1-18 = -19
-7 × -3 -7-3 = -10
∴ the factors having sum -10 are -7 and -3
p2 + 9p + 18 = p2 + (-7-3)p + 21
= p2 -7p-3p + 21
= p(p-7) -3(p-7)
= (p-7)(p-3)
Hence the factors of p2 + 9p + 18 are (p-7) and (p-3)
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