when the polynomial is written in standard form, what are the values of the leading coefficient and the…

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

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

Answer

Explanation:

Step1: Rewrite in standard form

Standard form of a polynomial is (ax^{2}+bx + c) where (a), (b), (c) are coefficients. Rewrite (5x + 2-3x^{2}) 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 term with the highest degree is (-3x^{2}), so the leading coefficient (a=-3). The constant is the term without a variable, which is (2).

Answer:

The leading coefficient is (-3), and the constant is (2).