What is the zero of the linear polynomial (10-2x)?
Answer and explanation
Correct answer: 5
To find the zero, set the polynomial equal to 0: \(10-2x=0\). Thus, \(2x=10\), so \(x=5\). On checking, \(10-2(5)=0\); therefore, 5 is the correct zero. Substituting \(-5\) gives \(20\), not 0. Exam tip: the zero of a linear polynomial \(ax+b\) is \(-\frac{b}{a}\), where \(a\ne0\).
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
To find the zero, set the polynomial equal to 0: \(10-2x=0\). Thus, \(2x=10\), so \(x=5\). On checking, \(10-2(5)=0\); therefore, 5 is the correct zero. Substituting \(-5\) gives \(20\), not 0. Exam tip: the zero of a linear polynomial \(ax+b\) is \(-\frac{b}{a}\), where \(a\ne0\).
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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