If \(p(x)=2x^2+3x-2\), what is the value of \(p(-2)\)?
Answer and explanation
Correct answer: \(0\)
Substitute \(x=-2\) into the polynomial: \(p(-2)=2(-2)^2+3(-2)-2=2(4)-6-2=0\). Therefore, option A is correct. Option D usually results from a calculation error, such as mishandling \(3(-2)\) or omitting the constant term \(-2\). Exam tip: the square of a negative number is positive, so \((-2)^2=4\).
Frequently asked questions
What is the correct answer to this question?
\(0\)
Why is this the correct answer?
Substitute \(x=-2\) into the polynomial: \(p(-2)=2(-2)^2+3(-2)-2=2(4)-6-2=0\). Therefore, option A is correct. Option D usually results from a calculation error, such as mishandling \(3(-2)\) or omitting the constant term \(-2\). Exam tip: the square of a negative number is positive, so \((-2)^2=4\).
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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