Question

when the polynomial is written in standard form, what are the values of the leading coefficient and the constant? 5x + 2 - 3x² the leading coefficient is 5, and the constant is 2. the leading coefficient is 2, and the constant is 5. the leading coefficient is -3, and the constant is 2. the leading coefficient is 2, and the constant is -3.

Explanation:

Step1: Rewrite polynomial in standard form

Standard form of a polynomial is arranged in descending order of exponents. For \(5x + 2 - 3x^2\), we rewrite it as \(-3x^2 + 5x + 2\).

Step2: Identify leading coefficient and constant

The leading coefficient is the coefficient of the term with the highest degree (here, the \(x^2\) term), so it's \(-3\). The constant term is the term without a variable, which is \(2\).

Answer:

The leading coefficient is \(-3\), and the constant is \(2\). (Corresponding to the option: The leading coefficient is \(-3\), and the constant is \(2\).)