Answer :
The given expression looks as
x2 + (a + b)x + ab
where a + b = 10; and ab = 24;
factors of 24 their sum
1 × 24 1 + 24 = 25
12 × 2 2 + 12 = 14
6 × 4 6 + 4 = 10
∴ the factors having sum 10 are 6 and 4
a2 + 10a + 24 = a2 + (6 + 4)a + 24
= a2 + 6a + 4a + 24
= a(a + 6) + 4(a + 6)
= (a + 6)(a + 4)
Hence the factors of a2 + 10a + 24 are (a + 6) and (a + 4)
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