If (p(x)=5x+3) and (q(x)=11x-2), what is the degree of (q(x)-2p(x))?
Answer and explanation
Correct answer: 1
First simplify the expression: \(q(x)-2p(x)=(11x-2)-2(5x+3)=11x-2-10x-6=x-8\). The highest power of \(x\) in \(x-8\) is 1, so its degree is 1. Degree 0 would apply only to a non-zero constant polynomial; here the \(x\)-term does not cancel. Exam tip: When adding or subtracting linear polynomials, simplify first and check whether the variable terms cancel.
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
First simplify the expression: \(q(x)-2p(x)=(11x-2)-2(5x+3)=11x-2-10x-6=x-8\). The highest power of \(x\) in \(x-8\) is 1, so its degree is 1. Degree 0 would apply only to a non-zero constant polynomial; here the \(x\)-term does not cancel. Exam tip: When adding or subtracting linear polynomials, simplify first and check whether the variable terms cancel.
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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