What is the degree of the polynomial ((x-4)(x+6))?
Answer and explanation
Correct answer: 2
\((x-4)(x+6)=x^2+2x-24\). The highest power of \(x\) in this polynomial is \(2\), so its degree is \(2\). It is not \(1\), because multiplying the two linear factors produces an \(x^2\) term. Exam tip: simplify the polynomial first, then identify the greatest exponent of the variable.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
\((x-4)(x+6)=x^2+2x-24\). The highest power of \(x\) in this polynomial is \(2\), so its degree is \(2\). It is not \(1\), because multiplying the two linear factors produces an \(x^2\) term. Exam tip: simplify the polynomial first, then identify the greatest exponent of the variable.
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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