What is the standard form of \(3x(x-2)=0\)?
Answer and explanation
Correct answer: \(3x^2-6x=0\)
Distribute: \(3x(x-2)=3x\cdot x-3x\cdot 2=3x^2-6x\). Thus the standard form is \(3x^2-6x=0\). The closest distractor \(3x^2+6x=0\) simply has the sign wrong. Exam tip: expand using the distributive property and collect terms into \(ax^2+bx+c=0\); include \(+0\) if the constant term is zero to make the form explicit.
Frequently asked questions
What is the correct answer to this question?
\(3x^2-6x=0\)
Why is this the correct answer?
Distribute: \(3x(x-2)=3x\cdot x-3x\cdot 2=3x^2-6x\). Thus the standard form is \(3x^2-6x=0\). The closest distractor \(3x^2+6x=0\) simply has the sign wrong. Exam tip: expand using the distributive property and collect terms into \(ax^2+bx+c=0\); include \(+0\) if the constant term is zero to make the form explicit.
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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