Which is the easiest method for solving x² + 4x + 3 = 0?
Answer and explanation
Correct answer: Factorisation method
The governing idea is to select a solution method that matches the structure and coefficients of the quadratic. The expression x² + 4x + 3 has small integer coefficients, and 3 can be factored as 1 × 3 while 1 + 3 = 4. Therefore x² + 4x + 3 = (x + 1)(x + 3). The zero-product property then gives x = −1 or x = −3. Factorisation is direct and efficient here, so option A is correct. A graph could also display the roots, but it is not the easiest exact method. Long division is not the standard method for this task, and “table method” is not an appropriate algebraic procedure.
Frequently asked questions
What is the correct answer to this question?
Factorisation method
Why is this the correct answer?
The governing idea is to select a solution method that matches the structure and coefficients of the quadratic. The expression x² + 4x + 3 has small integer coefficients, and 3 can be factored as 1 × 3 while 1 + 3 = 4. Therefore x² + 4x + 3 = (x + 1)(x + 3). The zero-product property then gives x = −1 or x = −3. Factorisation is direct and efficient here, so option A is correct. A graph could also display the roots, but it is not the easiest exact method. Long division is not the standard method for this task, and “table method” is not an appropriate algebraic procedure.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Methods of Solving Quadratic Equations.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
