If (p(x)=4x+b), what will be the value of (p(5)-p(2))?
Answer and explanation
Correct answer: 12
Given p(x)=4x+b, we get p(5)=20+b and p(2)=8+b. Therefore, p(5)-p(2)=(20+b)-(8+b)=12. The term b cancels because it occurs equally in both values. Note that 8 is only the value of the variable part of p(2), not the required difference. Exam tip: Evaluate the polynomial at both inputs separately before subtracting.
Frequently asked questions
What is the correct answer to this question?
12
Why is this the correct answer?
Given p(x)=4x+b, we get p(5)=20+b and p(2)=8+b. Therefore, p(5)-p(2)=(20+b)-(8+b)=12. The term b cancels because it occurs equally in both values. Note that 8 is only the value of the variable part of p(2), not the required difference. Exam tip: Evaluate the polynomial at both inputs separately before subtracting.
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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