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Class 9MathematicsIntroduction to PolynomialsLinear polynomialsMediumLevel 34

If (p(x)=6x+2) and (q(x)=x-9), what is the degree of (p(x)+q(x))?

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Answer and explanation

Correct answer: 1

Adding the polynomials gives
(p(x)+q(x))=(6x+2)+(x-9)=7x-7. The highest power of x is 1, so its degree is 1. The number 7 is a coefficient, not the degree. Exam tip: First simplify by combining like terms, then identify the highest exponent of the variable.

Tags

polynomialslinear polynomialsdegree of polynomialaddition of polynomialsclass 9 mathematics

Frequently asked questions

What is the correct answer to this question?

1

Why is this the correct answer?

Adding the polynomials gives
(p(x)+q(x))=(6x+2)+(x-9)=7x-7. The highest power of x is 1, so its degree is 1. The number 7 is a coefficient, not the degree. Exam tip: First simplify by combining like terms, then identify the highest exponent of the variable.

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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  3. 3Which expression is a polynomial but not a linear polynomial?
  4. 4Which statement is correct about the zeroes of a non-zero linear polynomial?
  5. 5Which expression is a polynomial in (s) and has degree (1)?
  6. 6If \(p(x)=ax+b\), where \(a\ne0\), is a linear polynomial, which property of its graph is always true?
  7. 7Which of the following expressions is a linear polynomial in \(x\)?
  8. 8A taxi charges a fixed fee of ₹50 and ₹12 per kilometre. If the distance travelled is represented by \(x\), which statement about \(C(x)=12x+50\) is correct?
  9. 9What type of polynomial is (4x-9)?
  10. 10What is the degree of a linear polynomial?
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