Problem

What is the degree of the polynomial \(4x^3 + 2x^2 - 5x + 7\)?

Answer

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Answer

Therefore, the degree of the polynomial \(4x^3 + 2x^2 - 5x + 7\) is 3, which is the highest exponent.

Steps

Step 1 ：A polynomial's degree is determined by the term with the highest exponent. In the given polynomial, the terms are \(4x^3\), \(2x^2\), \(-5x\), and \(7\).

Step 2 ：The exponents of these terms are 3, 2, 1, and 0 respectively.

Step 3 ：Therefore, the degree of the polynomial \(4x^3 + 2x^2 - 5x + 7\) is 3, which is the highest exponent.

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