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Question


Which of the following is/are the factor(s)
of 4x3+12x2+5x+15? 


Options:
A .   (2x2+5)
B .   (4x2+5)
C .   (x+3)
D .   (2x2+3)
Answer: Option B
:
B and C

Given, the expression is
4x3+12x2+5x+15.
Taking 4x2 common from the first two-terms and 5 common from the last two-terms, we get
4x2(x+3)+5(x+3)
=(x+3)(4x2+5)
Thus, (x+3) and (4x2+5)
are two factors of the given expression.



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