Which linear polynomial is like the form passing through the origin?
Answer and explanation
Correct answer: \(4x\)
\(4x\) is a linear polynomial with constant term \(0\). Its graph, \(y=4x\), passes through the origin \((0,0)\) because substituting \(x=0\) gives \(y=0\). Although \(4x+1\) is also linear, its constant term is \(1\), so it does not pass through the origin. Exam tip: For \(ax+b\), the graph passes through the origin only when \(b=0\).
Frequently asked questions
What is the correct answer to this question?
\(4x\)
Why is this the correct answer?
\(4x\) is a linear polynomial with constant term \(0\). Its graph, \(y=4x\), passes through the origin \((0,0)\) because substituting \(x=0\) gives \(y=0\). Although \(4x+1\) is also linear, its constant term is \(1\), so it does not pass through the origin. Exam tip: For \(ax+b\), the graph passes through the origin only when \(b=0\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear polynomials.
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