What is the degree of the polynomial (x(x-6)(x+2))?
Answer and explanation
Correct answer: 3
The polynomial is the product of three linear factors: x, (x-6), and (x+2). Each factor has degree 1, so the degree of the product is 1+1+1=3. On expansion, the highest-power term is x³. Option 6 may result from noticing the constants in the factors, but degree is determined by the highest exponent, not by constants. Exam tip: add the degrees of polynomial factors in a product.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
The polynomial is the product of three linear factors: x, (x-6), and (x+2). Each factor has degree 1, so the degree of the product is 1+1+1=3. On expansion, the highest-power term is x³. Option 6 may result from noticing the constants in the factors, but degree is determined by the highest exponent, not by constants. Exam tip: add the degrees of polynomial factors in a product.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Degree of a Polynomial.
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