Answer:
the second factor is 2x+3
Second option is correct.
Step-by-step explanation:
The given polynomial is [tex]2x^2+5x+3[/tex]
One factor of polynomial is [tex]x+1[/tex]
It means that this factor completely divide the polynomial and the quotient would be the second factor.
Therefore, second factor is given by
[tex]\frac{2x^2+5x+3}{x+1}[/tex]
Numerator can be factored as
[tex]2x^2+5x+3\\\\=2x^2+3x+2x+3\\\\=x(2x+3)+1(2x+3)\\\\\=(2x+3)(x+1)[/tex]
Hence, the second factor is
[tex]\frac{(2x+3)(x+1)}{x+1}[/tex]
Cancel the common factor from numerator and denominator
the second factor is 2x+3
Second option is correct.
