If \(p(x)=3x^2-2x+1\), what is the value of \(p(2)-p(1)\)?
Answer and explanation
Correct answer: 7
Substituting \(x=2\) gives \(p(2)=3(2)^2-2(2)+1=9\), while substituting \(x=1\) gives \(p(1)=3(1)^2-2(1)+1=2\). Hence, \(p(2)-p(1)=9-2=7\), so option C is correct. Option 6 results from incorrectly taking \(p(1)\) as 3. Exam tip: substitute each value carefully and simplify the squared term before subtracting.
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
Substituting \(x=2\) gives \(p(2)=3(2)^2-2(2)+1=9\), while substituting \(x=1\) gives \(p(1)=3(1)^2-2(1)+1=2\). Hence, \(p(2)-p(1)=9-2=7\), so option C is correct. Option 6 results from incorrectly taking \(p(1)\) as 3. Exam tip: substitute each value carefully and simplify the squared term before subtracting.
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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