If \(p(x)=ax^2+3x+5\) has degree 1, what is the value of \(a\)?
Answer and explanation
Correct answer: 0
The degree of a polynomial is the highest power of the variable with a non-zero coefficient. Here, the coefficient of \(x^2\) is \(a\). For the polynomial to have degree 1, this coefficient must be zero, so \(a=0\); the polynomial then becomes \(3x+5\), whose degree is 1. Exam tip: A term with a zero coefficient is omitted when determining the degree of a polynomial.
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What is the correct answer to this question?
0
Why is this the correct answer?
The degree of a polynomial is the highest power of the variable with a non-zero coefficient. Here, the coefficient of \(x^2\) is \(a\). For the polynomial to have degree 1, this coefficient must be zero, so \(a=0\); the polynomial then becomes \(3x+5\), whose degree is 1. Exam tip: A term with a zero coefficient is omitted when determining the degree of a polynomial.
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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