A linear polynomial is a polynomial of the first degree. This means that no variable will have an exponent greater than one. Because this is a first-degree polynomial, it will have exactly one real root, or solution. For example, 5x+2{\displaystyle 5x+2} is a linear polynomial, because the variable x{\displaystyle x} has no exponent (which is the same as an exponent of 1). This is a necessary step for solving all polynomials. For example, 5x+2=0{\displaystyle 5x+2=0} To do this, add or subtract the constant from both sides of the equation. A constant is a term without a variable. For example, to isolate the x{\displaystyle x} term in 5x+2=0{\displaystyle 5x+2=0}, you would subtract 2{\displaystyle 2} from both sides of the equation:5x+2=0{\displaystyle 5x+2=0}5x+2−2=0−2{\displaystyle 5x+2-2=0-2}5x=−2{\displaystyle 5x=-2} Usually you will need to divide each side of the equation by the coefficient. This will give you the root, or solution, to your polynomial. For example, to solve for x{\displaystyle x} in 5x=−2{\displaystyle 5x=-2}, you would divide each side of the equation by 5{\displaystyle 5}:5x=−2{\displaystyle 5x=-2}5x5=−25{\displaystyle {\frac {5x}{5}}={\frac {-2}{5}}}x=−25{\displaystyle x={\frac {-2}{5}}}So, the solution to 5x+2{\displaystyle 5x+2} is x=−25{\displaystyle x={\frac {-2}{5}}}.
حدد ما إذا كانت كثيرة الحدود خطية. ساوِ المعادلة بصفر. افصل الحد المتغير عن باقي الحدود. أوجد قيمة المتغير.
حدد ما إذا كانت كثيرة الحدود خطية. ساوِ المعادلة بصفر. افصل الحد المتغير عن باقي الحدود. أوجد قيمة المتغير.