If \(x-5\) is a factor of a polynomial, which statement about \(x=5\) is correct?
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Answer and explanation
Correct answer: \(x=5\) is a zero of the polynomial
By the factor theorem, if \(x-5\) is a factor of \(p(x)\), then \(p(5)=0\). Hence, 5 is a zero of the polynomial. The degree is the highest power of \(x\), not a value of \(x\). Exam tip: from \(x-a\), identify the zero as \(a\).
Frequently asked questions
What is the correct answer to this question?
\(x=5\) is a zero of the polynomial
Why is this the correct answer?
By the factor theorem, if \(x-5\) is a factor of \(p(x)\), then \(p(5)=0\). Hence, 5 is a zero of the polynomial. The degree is the highest power of \(x\), not a value of \(x\). Exam tip: from \(x-a\), identify the zero as \(a\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Quadratic expressions.
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