Class 10 Exam > Class 10 Videos > Mathematics (Maths) Class 10 > Solving a Quadratic Equation by Factoring
Solving a Quadratic Equation by Factoring Video Lecture | Mathematics (Maths) Class 10
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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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Nov 22, 2024 Last updated |
Video Description: Solving a Quadratic Equation by Factoring for Class 10 2024 is part of Mathematics (Maths) Class 10 preparation.
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