If (p(x)=6x-5), what is the value of (p(4)-p(1))?
Answer and explanation
Correct answer: 18
Given \(p(x)=6x-5\), \(p(4)=6\times4-5=19\) and \(p(1)=6\times1-5=1\). Therefore, \(p(4)-p(1)=19-1=18\). The value 24 comes from taking only \(6\times4\), which ignores the constant term and the subtraction of \(p(1)\). Exam tip: evaluate the polynomial separately at each given value before finding their difference.
Frequently asked questions
What is the correct answer to this question?
18
Why is this the correct answer?
Given \(p(x)=6x-5\), \(p(4)=6\times4-5=19\) and \(p(1)=6\times1-5=1\). Therefore, \(p(4)-p(1)=19-1=18\). The value 24 comes from taking only \(6\times4\), which ignores the constant term and the subtraction of \(p(1)\). Exam tip: evaluate the polynomial separately at each given value before finding their difference.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear polynomials.
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