Ta có:
M=\(\frac{2x^2+3x-2}{x+2}\)
=\(\frac{2\left(-1\right)^2+3\left(-1\right)-2}{\left(-1\right)+2}\)
=-3
Vậy M=-3
Cách 1:
\(M=\dfrac{2x^2+3x-2}{x+2}\)
\(=>M=\dfrac{2.(-1)^2+3.(-1)-2}{-1+2}\)
\(=>M=\dfrac{2.1+(-3)-2}{1}\)
\(=>M=-3\)
Cách 2:
\(M=\frac{2x^{2}+3x-2}{x+2}\\
=\frac{2x^{2}+4x-x-2}{x+2}\\
=\frac{2x(x+2)-(x+2)}{x+2}\\
=\frac{(x+2)(2x-1)}{x+2}\\
=2x-1\)
Thay \(x= -1\\\Rightarrow M=2.(-1)-1\\=-3\)