Which of the following equations is written in the standard form \(ax^2+bx+c=0\)?
Answer and explanation
Correct answer: x^2+2x+1=0
The standard form \(ax^2+bx+c=0\) requires the right-hand side to be 0 and the coefficient \(a\) of \(x^2\) to be nonzero. Option A is already in that form (a=1, b=2, c=1). Options B and C have nonzero terms on the right as written (they can be rearranged into standard form, e.g. B → \(x^2+2x-1=0\), but the question asks which is in standard form as given). Option D lacks an \(x^2\) term so it is not a quadratic equation. Exam tip: verify RHS = 0 and that the \(x^2\) coefficient is not zero to confirm standard form quickly.
Frequently asked questions
What is the correct answer to this question?
x^2+2x+1=0
Why is this the correct answer?
The standard form \(ax^2+bx+c=0\) requires the right-hand side to be 0 and the coefficient \(a\) of \(x^2\) to be nonzero. Option A is already in that form (a=1, b=2, c=1). Options B and C have nonzero terms on the right as written (they can be rearranged into standard form, e.g. B → \(x^2+2x-1=0\), but the question asks which is in standard form as given). Option D lacks an \(x^2\) term so it is not a quadratic equation. Exam tip: verify RHS = 0 and that the \(x^2\) coefficient is not zero to confirm standard form quickly.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Introduction to Quadratic Equations.
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