If \(p(x)=2x^2+3x+4\), what is the value of \(p(-1)-p(0)\)?
Answer and explanation
Correct answer: -1
Substituting \(x=-1\), \(p(-1)=2(-1)^2+3(-1)+4=2-3+4=3\). Also, \(p(0)=2(0)^2+3(0)+4=4\). Therefore, \(p(-1)-p(0)=3-4=-1\), so option A is correct. Choosing 0 would incorrectly assume that the two polynomial values are equal. Exam tip: the square of a negative number is positive, but the linear term \(3x\) becomes \(-3\) when \(x=-1\).
Frequently asked questions
What is the correct answer to this question?
-1
Why is this the correct answer?
Substituting \(x=-1\), \(p(-1)=2(-1)^2+3(-1)+4=2-3+4=3\). Also, \(p(0)=2(0)^2+3(0)+4=4\). Therefore, \(p(-1)-p(0)=3-4=-1\), so option A is correct. Choosing 0 would incorrectly assume that the two polynomial values are equal. Exam tip: the square of a negative number is positive, but the linear term \(3x\) becomes \(-3\) when \(x=-1\).
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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