Verification of given zeros
To verify whether a number is a zero of a polynomial, substitute that number into the polynomial and check whether the value becomes 0.
Practice This ConceptMain explanation
Teacher explanation
Verification is a simple but important exam skill. If a number is claimed to be a zero, substitute it carefully into the polynomial. If the result is 0, the claim is correct. If the result is not 0, then the number is not a zero. This method also helps students avoid blind guessing.
Example
For p(x)=x^2-4x+3, p(1)=1-4+3=0, so 1 is a zero.
Simple analogy
Substitute and test for zero.
Common confusion
Students often substitute only one part of the expression and forget to use the full polynomial. That gives a wrong check.
Exam tip
Always write the substitution step clearly. One small sign mistake can change the final answer.
Answer writing and exam use
1-mark use
Write the exact meaning of verification of given zeros in one clean line.
2-mark use
Define verification of given zeros and add one example or condition.
3-mark use
Explain verification of given zeros, 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.
Help improve this page
Found something confusing, incorrect, or missing?