Which is the easiest method to solve x² + 7x + 10 = 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. Here the constant term 10 has factor pairs 1 and 10 or 2 and 5. The pair 5 and 2 has sum 7, so x² + 7x + 10 can be written as (x + 5)(x + 2) = 0. The zero-product property then gives x = −5 or x = −2. Thus factorisation is the easiest and most direct method, making option A correct. Long division is not normally required for solving this quadratic, and a table or graph could be used in some contexts but would be less direct and less exact for this simple expression. The small integer coefficients make factorisation especially convenient.
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. Here the constant term 10 has factor pairs 1 and 10 or 2 and 5. The pair 5 and 2 has sum 7, so x² + 7x + 10 can be written as (x + 5)(x + 2) = 0. The zero-product property then gives x = −5 or x = −2. Thus factorisation is the easiest and most direct method, making option A correct. Long division is not normally required for solving this quadratic, and a table or graph could be used in some contexts but would be less direct and less exact for this simple expression. The small integer coefficients make factorisation especially convenient.
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.
