1. Understanding Polynomial:
Polynomials are algebraic expressions that consist of variables and coefficients, combined using addition, subtraction, multiplication, and non-negative integer exponents. For example, \(3x^2 + 5x - 2\) is a polynomial where \(3\), \(5\), and \(-2\) are coefficients, and \(x\) is a variable with exponents of \(2\) and \(1\).

2. Steps to Solve a Polynomial Question:
- Step 1: Identify the Polynomial Equation
Start by identifying the given polynomial equation that needs to be solved. It could be in the form of addition, subtraction, or multiplication of polynomial terms.
- Step 2: Simplify the Equation
Combine like terms by adding or subtracting coefficients of the same variables with the same exponents. This will simplify the polynomial equation.
- Step 3: Determine the Degree of the Polynomial
The degree of a polynomial is the highest exponent of the variable present in the expression. Knowing the degree helps in understanding the behavior of the polynomial.
- Step 4: Find the Roots of the Polynomial
To solve the polynomial equation, set it equal to zero and find the values of the variable that satisfy the equation. These values are called roots or solutions of the polynomial.
- Step 5: Check the Solution
Substitute the found roots back into the original polynomial equation to verify if they satisfy the equation. If they do, then the roots are correct solutions.
- Step 6: Present the Solution
Finally, present the solutions of the polynomial equation in a clear and organized manner, indicating the roots and any other relevant information.
By following these steps, you can effectively solve polynomial questions in Class 8 mathematics.