Which of the following is the correct factorised form for solving the equation 2x² − 3x − 2 = 0?
Answer and explanation
Correct answer: (2x+1)(x−2)=0
Expanding (2x+1)(x−2) gives 2x² − 4x + x − 2 = 2x² − 3x − 2, so option A is correct. The closest distractor is option B, whose expansion is 2x² + 3x − 2; the sign of the coefficient of x is wrong. In an exam, expand the factors and compare the result with the original equation.
Frequently asked questions
What is the correct answer to this question?
(2x+1)(x−2)=0
Why is this the correct answer?
Expanding (2x+1)(x−2) gives 2x² − 4x + x − 2 = 2x² − 3x − 2, so option A is correct. The closest distractor is option B, whose expansion is 2x² + 3x − 2; the sign of the coefficient of x is wrong. In an exam, expand the factors and compare the result with the original equation.
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.
