Created from Youtube video: https://www.youtube.com/watch?v=5mbatW6vlVovideoConcepts covered:polynomial functions, constant term, degree, leading coefficient, factoring polynomials
In this video, Miss Gra introduces the first part of a six-part series on the attributes of polynomial functions, focusing on understanding key concepts such as the constant term, degree, and leading coefficient. The video includes examples of factoring polynomials, finding x and y intercepts, and converting polynomials to standard form using methods like the box method and distributive property.
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Alg 2 Attributes of Polynomials Notes, Part 1
Concepts covered:polynomial functions, constant term, degree, leading coefficient, factoring polynomials
In this video, Miss Gra introduces the first part of a six-part series on the attributes of polynomial functions, focusing on understanding key concepts such as the constant term, degree, and leading coefficient. The video includes examples of factoring polynomials, finding x and y intercepts, and converting polynomials to standard form using methods like the box method and distributive property.
Question 1
The constant term is the y-intercept of a polynomial graph.
Question 2
How is the degree of a polynomial identified?
Question 3
Factored form helps in finding the _____ intercepts of a polynomial.
Question 4
CASE STUDY: A company is analyzing a polynomial function to predict sales trends.
What is the leading coefficient's role?
Question 5
Standard form of a polynomial is written from highest to lowest degree.
Question 6
What is the role of the leading coefficient?
Question 7
The degree of a polynomial indicates the maximum number of _____ intercepts.
Question 8
CASE STUDY: A student is graphing a polynomial function for a math project.
What should the student plot first?
Question 9
The leading coefficient affects the graph's end behavior.
Question 10
How do you find x-intercepts from factored form?
Question 11
The leading coefficient is the number in front of the term with the highest _____.
Question 12
The degree of a polynomial indicates the maximum x-intercepts.
Question 13
What determines the y-intercept of a polynomial graph?
Question 14
In standard form, the polynomial is written from highest to lowest _____.
Question 15
Factored form is used to find the y-intercept directly.
Question 16
What does the degree tell about x-intercepts?
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