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5 votes
Which of the following is a factor of 2x4 + 5x3 + 3x2 + 8x + 12?

2x + 3

x – 3

3x + 1

Not factorable

User LukeS
by
7.4k points

2 Answers

3 votes
Use the rational root theorem:
(x+2)(2
x^(3)+
x^(2)+x+6)
Use the rational root theorem AGAIN:
(x+2)(2x+3)(
x^(2)-x+2)
The answer is the first choice
User Lupe
by
8.4k points
6 votes

Answer:2x+3

Explanation:

GIven


2x^4+5x^3+3x^2+8x+12


2x^4+3x^3+2x^3+3x^2+8x+12


x^3\left ( 2x+3\right )+x^2\left ( 2x+3\right )+4\left ( 2x+3\right )


\left ( 2x+3\right )\left ( x^3+x^2+4\right )

Thus 2x+3 is a factor of given Function

User Anesha
by
8.4k points
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