If \(p(x)=x^2-3x+2\), which statement about \(p(1)\) and \(p(2)\) is correct?
Answer and explanation
Correct answer: Both values are 0
\(p(1)=1^2-3(1)+2=1-3+2=0\) and \(p(2)=2^2-3(2)+2=4-6+2=0\). Therefore, both 1 and 2 are zeroes of the polynomial, so option A is correct. In such questions, substitute each given value directly into the polynomial; alternatively, factorising it as \(p(x)=(x-1)(x-2)\) gives the same result.
Frequently asked questions
What is the correct answer to this question?
Both values are 0
Why is this the correct answer?
\(p(1)=1^2-3(1)+2=1-3+2=0\) and \(p(2)=2^2-3(2)+2=4-6+2=0\). Therefore, both 1 and 2 are zeroes of the polynomial, so option A is correct. In such questions, substitute each given value directly into the polynomial; alternatively, factorising it as \(p(x)=(x-1)(x-2)\) gives the same result.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.
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