\(2x^5-5x^2+3=0\)
\(\Leftrightarrow2x^5-2x^2-3x^2+3=0\)
\(\Leftrightarrow\left(2x^5-2x^2\right)-\left(3x^2-3\right)=0\)
\(\Leftrightarrow2x^2.\left(x^3-1\right)-3.\left(x^2-1\right)=0\)
\(\Leftrightarrow2x^2.\left(x-1\right).\left(x^2+x+1\right)-3.\left(x-1\right).\left(x+1\right)=0\)
\(\Leftrightarrow\left(x-1\right).\left[2x^2.\left(x^2+x+1\right)-3.\left(x+1\right)\right]=0\)
\(\Leftrightarrow\left(x-1\right).\left[2x^4+2x^3+2x^2-\left(3x+3\right)\right]=0\)
\(\Leftrightarrow\left(x-1\right).\left(2x^4+2x^3+2x^2-3x-3\right)=0\)
Đến đoạn này mình đang nghĩ nhé.
Chúc bạn học tốt!