Which of the following is a factor of 15 + 7x - 2x2
A
x + 3
B
x - 3
C
x - 5
D
x + 5
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Factorize 15 + 7x - 2x2
(5 - x)(3 + 2x); suppose 15 + 7x = 2x2 = 0
∴ (5 - x)(3 + 2x) = 0
x = 5 or x = -\(\frac{3}{2}\)
Since 5 is a root, then (x - 5) is a factor
Source: Myschool Past Questions Archive (Record #31166)