If (p(x)=6x+11), what is (p(x)+p(-x))?
Answer and explanation
Correct answer: 22
Given p(x)=6x+11, substitute -x for x: p(-x)=6(-x)+11=-6x+11. Therefore, p(x)+p(-x)=(6x+11)+(-6x+11)=22. Hence, option B is correct. Zero is a close distractor, but only the x-terms cancel; the constant terms give 11+11=22. Exam tip: in p(x)+p(-x), odd-power terms cancel, while even-power and constant terms are doubled.
Frequently asked questions
What is the correct answer to this question?
22
Why is this the correct answer?
Given p(x)=6x+11, substitute -x for x: p(-x)=6(-x)+11=-6x+11. Therefore, p(x)+p(-x)=(6x+11)+(-6x+11)=22. Hence, option B is correct. Zero is a close distractor, but only the x-terms cancel; the constant terms give 11+11=22. Exam tip: in p(x)+p(-x), odd-power terms cancel, while even-power and constant terms are doubled.
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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