A polynomial is an expression that is combination of variables raise to some power whereas rational expression is a fraction whose numerator and denominator are polynomials.

A linear polynomial is a polynomial of degree one , the highest exponent of variable is one. These polynomial general type is \(\displaystyle{a}{x}+{b}={0}\)

The equation is \(\displaystyle{2}{x}+{1}+{2}{x}-{12}={0}\). Convert the equation to standard form

\(\displaystyle{2}{x}+{1}+{2}{x}-{12}={0}\)

\(\displaystyle{4}{x}-{11}={0}\)

Now solve the standard equation for x

\(\displaystyle{4}{x}-{11}={0}\)

\(\displaystyle{4}{x}={11}\)

\(\displaystyle{x}={\frac{{{11}}}{{{4}}}}\)

Therefore, value of x is \(\displaystyle{\frac{{{11}}}{{{4}}}}\).

A linear polynomial is a polynomial of degree one , the highest exponent of variable is one. These polynomial general type is \(\displaystyle{a}{x}+{b}={0}\)

The equation is \(\displaystyle{2}{x}+{1}+{2}{x}-{12}={0}\). Convert the equation to standard form

\(\displaystyle{2}{x}+{1}+{2}{x}-{12}={0}\)

\(\displaystyle{4}{x}-{11}={0}\)

Now solve the standard equation for x

\(\displaystyle{4}{x}-{11}={0}\)

\(\displaystyle{4}{x}={11}\)

\(\displaystyle{x}={\frac{{{11}}}{{{4}}}}\)

Therefore, value of x is \(\displaystyle{\frac{{{11}}}{{{4}}}}\).