The required solution of given polynomial equation is [tex]x+1-\frac{8}{2x+5}[/tex] .
Given polynomial equation is [tex]2x^{2}+7x-3[/tex] which is to be divided by [tex]2x+5[/tex]
In case of division of polynomials we Long division method to calculate final value of the given equation.
For solving given equation let us start from;
[tex]\frac{2x^{2} +7x-3}{2x+5}[/tex] = [tex]x+\frac{2x-3}{2x+5}[/tex]
[tex]x+\frac{2x-3}{2x+5}[/tex] = [tex]x+1 +\frac{-8}{2x+5}[/tex]
[tex]x+1-\frac{8}{2x+5}[/tex]
The final solution for given equation is [tex]x+1-\frac{8}{2x+5}[/tex]
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