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Solving a Quadratic Equation by Factoring Video Lecture | Mathematics (Maths) Class 10

FAQs on Solving a Quadratic Equation by Factoring Video Lecture - Mathematics (Maths) Class 10

1. What is a quadratic equation?

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

2. How can we solve a quadratic equation by factoring?

Ans. To solve a quadratic equation by factoring, we need to follow these steps: 1. Write the equation in the standard form ax^2 + bx + c = 0. 2. Factor the quadratic expression on the left-hand side of the equation. 3. Equate each factor to zero and solve the resulting linear equations. 4. Obtain the values of x that satisfy the equation.

3. Why is factoring a useful method to solve quadratic equations?

Ans. Factoring is a useful method to solve quadratic equations because it allows us to break down a complex quadratic equation into simpler linear equations, which can be easily solved. It helps us find the roots or solutions of the quadratic equation efficiently.

4. Can all quadratic equations be solved by factoring?

Ans. No, not all quadratic equations can be solved by factoring. Quadratic equations with complex roots or equations that cannot be factored into linear factors cannot be solved using this method. In such cases, we need to use other methods like completing the square or using the quadratic formula.

5. Are there any limitations or challenges when solving quadratic equations by factoring?

Ans. Yes, there are some limitations and challenges when solving quadratic equations by factoring. Some equations may have complex or irrational roots, which are not easily obtained by factoring. Additionally, factoring may not be possible if the equation does not factor into linear factors. In such cases, alternative methods need to be used to find the solutions of the quadratic equation.

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Sep 20, 2025 Last updated

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	Mathematics (Maths) Class 10 127 videos\|584 docs\|79 tests

Mathematics (Maths) Class 10

127 videos|584 docs|79 tests

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