Linear polynomial and its zero
A linear polynomial has highest power 1, usually written as ax+b where a is not zero. Its zero is the value of x that makes ax+b equal to 0.
Practice This ConceptMain explanation
Teacher explanation
A linear polynomial has only one zero because its graph is a straight line. To find the zero, set the expression equal to zero and solve. For ax+b=0, the zero is x=-b/a. This chapter uses that simple idea many times in later topics.
Example
For 2x-6, the zero is x=3 because 2(3)-6=0.
Simple analogy
Linear means one line, one zero.
Common confusion
Students often change the sign wrongly while moving the constant term. They should solve carefully: ax=-b, not ax=b.
Exam tip
For a linear polynomial ax+b, write the zero directly as -b/a after checking that a is not zero.
Answer writing and exam use
1-mark use
Write the exact meaning of linear polynomial and its zero in one clean line.
2-mark use
Define linear polynomial and its zero and add one example or condition.
3-mark use
Explain linear polynomial and its zero, show the method or example, and mention the common mistake.
Practice this concept with focused MCQs
Open the concept quiz intro first, review the test details, and then start a focused MCQ set from this concept only. Instant score and answer review are live now.
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