Question

hw 11 polynomial functions 5.2: (2 points) find the degree and leading coefficient for $y = 6x^{2}+9x + 6$. degree: help (numbers) leading coefficient: help (numbers) note: you can earn partial credit on this problem. preview my answers submit answers show me another you have attempted this problem 0 times. you have 5 attempts left before new ver you have unlimited attempts remaining.

Explanation:

Step1: Recall the definition of degree

The degree of a polynomial is the highest power of the variable. In \(y = 6x^{2}+9x + 6\), the powers of \(x\) are \(2\) (in \(6x^{2}\)), \(1\) (in \(9x\)) and \(0\) (in \(6\)). The highest power is \(2\).

Step2: Recall the definition of leading coefficient

The leading coefficient is the coefficient of the term with the highest degree. The term with the highest degree is \(6x^{2}\), and its coefficient is \(6\).

Answer:

Degree: \(2\)
Leading Coefficient: \(6\)