Question
Is (p(x)=2x^3+5x^2-3x+4 a polynomial expression
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GPT-4o mini
Yes, \( p(x) = 2x^3 + 5x^2 - 3x + 4 \) is a polynomial expression. A polynomial is defined as an expression that consists of variables raised to non-negative integer powers and multiplied by coefficients. In this case:
- The variable is \( x \).
- The powers of \( x \) are 3, 2, 1, and 0 (the constant term 4 corresponds to \( x^0 \)).
- The coefficients are 2, 5, -3, and 4.
Since all terms satisfy the definition of a polynomial, \( p(x) \) is indeed a polynomial of degree 3.
- The variable is \( x \).
- The powers of \( x \) are 3, 2, 1, and 0 (the constant term 4 corresponds to \( x^0 \)).
- The coefficients are 2, 5, -3, and 4.
Since all terms satisfy the definition of a polynomial, \( p(x) \) is indeed a polynomial of degree 3.