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If (p(x)=9-3x), what is its zero?

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Answer and explanation

Correct answer: 3

To find the zero, set the polynomial equal to zero: \(9-3x=0\). Thus, \(3x=9\), so \(x=3\). Therefore, 3 is the correct answer. Substituting \(-3\) gives \(9-3(-3)=18\), not zero. In an exam, verify a zero by substituting the value back into the polynomial and checking whether the result is 0.

Related tags

PolynomialsLinear PolynomialsZero Of PolynomialAlgebraClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

3

Why is this the correct answer?

To find the zero, set the polynomial equal to zero: \(9-3x=0\). Thus, \(3x=9\), so \(x=3\). Therefore, 3 is the correct answer. Substituting \(-3\) gives \(9-3(-3)=18\), not zero. In an exam, verify a zero by substituting the value back into the polynomial and checking whether the result is 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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