Understanding the Leading Coefficient and Constant Term in a Polynomial | A Guide

When the polynomial is written in standard form, what are the values of the leading coefficient and the constant?5x + 2 – 3×2

In the given polynomial, 5x + 2 – 3x^2, let’s rearrange the terms in descending order of degree:

-3x^2 + 5x + 2

When a polynomial is written in standard form, the leading coefficient is the coefficient of the term with the highest degree

In the given polynomial, 5x + 2 – 3x^2, let’s rearrange the terms in descending order of degree:

-3x^2 + 5x + 2

When a polynomial is written in standard form, the leading coefficient is the coefficient of the term with the highest degree. In this case, the coefficient of the highest-degree term is -3, so the leading coefficient is -3.

The constant term is the term that does not have any variable attached to it, or simply the term that is not multiplied by any variable. In this case, the constant term is 2.

Hence, in the given polynomial -3x^2 + 5x + 2, the leading coefficient is -3 and the constant is 2.

More Answers:
Determining the Value of f(-3) for a Quadratic Function | Evaluation and Simplification
Determining the Function that Increases at the Fastest Rate | A Comparative Analysis of Derivatives
Understanding Quadratic Functions | Definition and Coefficients Explained

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