If (p(x)=2x+b) and (p(3)=p(1)+8), what is correct about (b)?
Answer and explanation
Correct answer: No such value of (b) exists
Here, p(3)=2(3)+b=6+b and p(1)=2(1)+b=2+b. Thus, p(3)-p(1)=(6+b)-(2+b)=4, whereas the given condition requires the difference to be 8. The value of b cancels out, so no value of b can satisfy the condition. Exam tip: In such questions, calculate both function values first and then compare their difference.
Frequently asked questions
What is the correct answer to this question?
No such value of (b) exists
Why is this the correct answer?
Here, p(3)=2(3)+b=6+b and p(1)=2(1)+b=2+b. Thus, p(3)-p(1)=(6+b)-(2+b)=4, whereas the given condition requires the difference to be 8. The value of b cancels out, so no value of b can satisfy the condition. Exam tip: In such questions, calculate both function values first and then compare their difference.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear polynomials.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
