If \(p(x)=x^2+4x+4\), what is the value of \(p(-2+h)\)?
Answer and explanation
Correct answer: \(h^2\)
The polynomial can be written as \(p(x)=x^2+4x+4=(x+2)^2\). Substituting \(x=-2+h\) gives \(p(-2+h)=((-2+h)+2)^2=h^2\). Option D results from confusing a squared expression with a linear term. Exam tip: Factor or rewrite a polynomial as a perfect square before substituting whenever possible.
Frequently asked questions
What is the correct answer to this question?
\(h^2\)
Why is this the correct answer?
The polynomial can be written as \(p(x)=x^2+4x+4=(x+2)^2\). Substituting \(x=-2+h\) gives \(p(-2+h)=((-2+h)+2)^2=h^2\). Option D results from confusing a squared expression with a linear term. Exam tip: Factor or rewrite a polynomial as a perfect square before substituting whenever possible.
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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