Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 9MathematicsIntroduction to PolynomialsLinear polynomialsExpertLevel 32
0 reads0 ratings0 helpful

If (p(x)=x-7) and (q(x)=x+4), what is the degree of (p(x)q(x))?

Advertisement

Answer and explanation

Correct answer: 2

Both p(x) and q(x) are linear polynomials, so each has degree 1. Their product is (x-7)(x+4)=x^2-3x-28. The highest power of x is 2, so the degree of the product is 2. Option 1 is the degree of each individual polynomial, not of their product. Exam tip: For non-zero polynomials, the degree of a product equals the sum of their degrees.

Related tags

PolynomialsLinear PolynomialsDegree Of PolynomialProduct Of PolynomialsClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

2

Why is this the correct answer?

Both p(x) and q(x) are linear polynomials, so each has degree 1. Their product is (x-7)(x+4)=x^2-3x-28. The highest power of x is 2, so the degree of the product is 2. Option 1 is the degree of each individual polynomial, not of their product. Exam tip: For non-zero polynomials, the degree of a product equals the sum of their degrees.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear polynomials.

Was this question useful?

No ratings yetWrite a review / Rate this question

Student Reviews

No published reviews yet.

KEEP PRACTISING

10 more MCQs
  1. 1If the highest power in a polynomial is 1, what is it called?
  2. 2Which expression is not a linear polynomial?
  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?
Advertisement