If (p(x)=7x+2) and (q(x)=15x-6), what is the degree of (q(x)-2p(x))?
Answer and explanation
Correct answer: 1
First simplify the expression: (q(x)-2p(x))=(15x-6)-2(7x+2)=15x-6-14x-4=x-10. The highest power of x is 1, so its degree is 1. A constant polynomial would have degree 0, but here the coefficient of x is 1, not zero. Exam tip: When adding or subtracting linear polynomials, combine like terms first because leading terms may 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))=(15x-6)-2(7x+2)=15x-6-14x-4=x-10. The highest power of x is 1, so its degree is 1. A constant polynomial would have degree 0, but here the coefficient of x is 1, not zero. Exam tip: When adding or subtracting linear polynomials, combine like terms first because leading terms may cancel.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear polynomials.
