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Solution of a Quadratic Equation by Factorization (Easy Explanation) Video Lecture - Class 10

FAQs on Solution of a Quadratic Equation by Factorization (Easy Explanation) Video Lecture - Class 10

1. What is the quadratic equation?

Ans. A quadratic equation is a second-degree polynomial equation in a single variable with the general form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

2. How can I solve a quadratic equation by factorization?

Ans. To solve a quadratic equation by factorization, follow these steps: 1. Write the equation in the standard form ax^2 + bx + c = 0. 2. Factorize the quadratic expression on the left-hand side of the equation. 3. Set each factor equal to zero and solve for the variable. 4. Obtain the values of the variable that satisfy the equation.

3. Is factorization the only method to solve a quadratic equation?

Ans. No, factorization is one of the methods to solve a quadratic equation. Other methods include using the quadratic formula and completing the square. The choice of method depends on the specific equation and the preference of the solver.

4. Can all quadratic equations be solved by factorization?

Ans. No, not all quadratic equations can be solved by factorization. Factorization method can only be applied when the quadratic expression can be factored easily. Some quadratic equations might require the use of other methods like the quadratic formula or completing the square.

5. Are there any limitations to solving a quadratic equation by factorization?

Ans. Yes, there are certain limitations to solving a quadratic equation by factorization: - The equation must be in the standard form ax^2 + bx + c = 0. - The quadratic expression on the left-hand side must be factorizable. - The factors obtained must be easily solvable to find the values of the variable. If any of these conditions are not met, factorization method may not be applicable or suitable for solving the equation.

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Oct 22, 2025 Last updated

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