Factorize x2 + 9x + 20
A
(x − 5) 2
B
(x + 5)(x + 4)
C
(x – 5)(x + 3)
D
(x + 3) 2
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\( x^2 + 9x + 20 \)
Find the two numbers whose product is 20 and its sum is 9}
\( 5x \times 4x = 20x^2\)
\(5x + 4x = 9x\)
\((x^2 + 5x) + (4x + 20)\)
\(
x(x + 5)+ 4(x + 5)
= (x + 5)(x + 4)\)
Source: Myschool Past Questions Archive (Record #40546)