If the zero of (p(x)=(c-1)x+2c) is (-2), which conclusion is correct?
Answer and explanation
Correct answer: No value of \(c\)
If \(-2\) is a zero of \(p(x)\), then \(p(-2)=0\). Thus, \(-2(c-1)+2c=0\). Simplifying gives \(-2c+2+2c=0\), or \(2=0\), which is impossible. Hence, no value of \(c\) can make \(-2\) a zero of this polynomial. Exam tip: For a given zero \(a\), always substitute it and use \(p(a)=0\).
Frequently asked questions
What is the correct answer to this question?
No value of \(c\)
Why is this the correct answer?
If \(-2\) is a zero of \(p(x)\), then \(p(-2)=0\). Thus, \(-2(c-1)+2c=0\). Simplifying gives \(-2c+2+2c=0\), or \(2=0\), which is impossible. Hence, no value of \(c\) can make \(-2\) a zero of this polynomial. Exam tip: For a given zero \(a\), always substitute it and use \(p(a)=0\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear polynomials.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
