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If \(p(x)=x^2+2x-8\), what is the value of \(p(3)-p(-2)\)?
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Answer and explanation
Correct answer: 15
Substituting the values gives \(p(3)=3^2+2(3)-8=7\) and \(p(-2)=(-2)^2+2(-2)-8=-8\). Therefore, \(p(3)-p(-2)=7-(-8)=15\). Exam tip: when subtracting \(p(-2)\), subtract the negative value correctly, which becomes addition.
Frequently asked questions
What is the correct answer to this question?
15
Why is this the correct answer?
Substituting the values gives \(p(3)=3^2+2(3)-8=7\) and \(p(-2)=(-2)^2+2(-2)-8=-8\). Therefore, \(p(3)-p(-2)=7-(-8)=15\). Exam tip: when subtracting \(p(-2)\), subtract the negative value correctly, which becomes addition.
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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