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If \\(p(x)=x^2-2x+3\\), what is the value of \\(p(2)+p(-1)\\)?
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Answer and explanation
Correct answer: 9
Substituting \\(x=2\\) gives \\(p(2)=2^2-2(2)+3=3\\). Substituting \\(x=-1\\) gives \\(p(-1)=(-1)^2-2(-1)+3=6\\). Therefore, \\(p(2)+p(-1)=3+6=9\\). Exam tip: when substituting \\(x=-1\\), remember that \\(-2(-1)=+2\\).
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
Substituting \\(x=2\\) gives \\(p(2)=2^2-2(2)+3=3\\). Substituting \\(x=-1\\) gives \\(p(-1)=(-1)^2-2(-1)+3=6\\). Therefore, \\(p(2)+p(-1)=3+6=9\\). Exam tip: when substituting \\(x=-1\\), remember that \\(-2(-1)=+2\\).
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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