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If (p(x)=4x+b), what will be the value of (p(5)-p(2))?

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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.

Related tags

PolynomialsLinear PolynomialsPolynomial EvaluationAlgebraic SimplificationClass 9 Mathematics

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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