If (p(x)=4x-8), which value is its zero?
Answer and explanation
Correct answer: \(x=2\)
A zero of a polynomial is a value of \(x\) for which the polynomial equals 0. Put \(4x-8=0\): then \(4x=8\), so \(x=2\). Checking, \(p(2)=4(2)-8=0\); hence option B is correct. For example, at \(x=4\), the value is \(8\), not 0. Exam tip: To find a zero, set the polynomial equal to 0 and solve for \(x\).
Frequently asked questions
What is the correct answer to this question?
\(x=2\)
Why is this the correct answer?
A zero of a polynomial is a value of \(x\) for which the polynomial equals 0. Put \(4x-8=0\): then \(4x=8\), so \(x=2\). Checking, \(p(2)=4(2)-8=0\); hence option B is correct. For example, at \(x=4\), the value is \(8\), not 0. Exam tip: To find a zero, set the polynomial equal to 0 and solve for \(x\).
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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