Explore: Given factored form of This Higher Degree Polynomial (HDP) +1)(x-3) a. Determine the number of roots for this function b. Determine the degree of this function С. Rewrite in standard form by multiplying d. Sketch a graph using the real roots and y-intercept (constant term)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Given factored form of This Higher Degree Polynomial (HDP)
+ 1)(x – 3)
a.
Determine the number of roots for this function
b.
Determine the degree of this function
С.
Rewrite in standard form by multiplying
d. Sketch a graph using the real roots and y-intercept (constant term)
Transcribed Image Text:Explore: Given factored form of This Higher Degree Polynomial (HDP) + 1)(x – 3) a. Determine the number of roots for this function b. Determine the degree of this function С. Rewrite in standard form by multiplying d. Sketch a graph using the real roots and y-intercept (constant term)
Expert Solution
Step 1

(a)

The given function is:

Algebra homework question answer, step 1, image 1

Therefore the number of roots for this function is 3.

Step 2

(b)

We expand the function f(x) as:

Algebra homework question answer, step 2, image 1

Since the highest power or exponent of variable x in f(x) is 3, therefore the degree of f(x) is 3.

(c)

The standard form of f(x) is:

Algebra homework question answer, step 2, image 2

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