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Class 10MathematicsPolynomialsPolynomials in one variableHardLevel 47
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If the degree of (p(x)) is (4) and the degree of (q(x)) is (3), what will generally be the degree of (p(x)q(x))?

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Answer and explanation

Correct answer: (7)

In the product of two non-zero polynomials, degrees add, so (4+3=7). Remember degree addition in multiplication.

Related tags

DegreeProductPolynomial

Frequently asked questions

What is the correct answer to this question?

(7)

Why is this the correct answer?

In the product of two non-zero polynomials, degrees add, so (4+3=7). Remember degree addition in multiplication.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.

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  1. 1If (p(x)=x^2-8x+10), what are its zeroes?
  2. 2Which option is the simplified form of (x^8 - 81) / (x^4 - 9), where x^4 ≠ 9?
  3. 3Which expression is a polynomial in one variable (x)?
  4. 4What is the degree of the polynomial p(x) = 4x^3 − 2x + 9?
  5. 5What is the constant term of the polynomial \(7x^2+5x-11\)?
  6. 6What is the coefficient of x^2 in 5x^4 − 3x^2 + x − 6?
  7. 7Which polynomial is a quadratic polynomial?
  8. 8Which expression is not a polynomial?
  9. 9For the polynomial \(p(x)=2x^2-3x+1\), what is the value of \(p(1)\)?
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