If (p(x)=x+2) and (q(x)=x+5), what type of polynomial is (q(x)-p(x))?
Answer and explanation
Correct answer: Constant polynomial
q(x)-p(x)=(x+5)-(x+2)=x+5-x-2=3. Since the result has no x-term and 3 is a non-zero constant, it is a constant polynomial. A linear polynomial must contain a term with x to the power 1, but those terms cancel here. Exam tip: While subtracting polynomials, change the sign of every term in the second bracket.
Frequently asked questions
What is the correct answer to this question?
Constant polynomial
Why is this the correct answer?
q(x)-p(x)=(x+5)-(x+2)=x+5-x-2=3. Since the result has no x-term and 3 is a non-zero constant, it is a constant polynomial. A linear polynomial must contain a term with x to the power 1, but those terms cancel here. Exam tip: While subtracting polynomials, change the sign of every term in the second bracket.
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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