## Determine the Quadrant where an Angle Terminates – degrees 143-8.1.2.a This video is provided as supplementary material for courses taught at Howard Community College and in this video I want to show how to determine the quadrant where an angle terminates. So let’s get started. Let’s say we’ve been given a problem like this: Determine …

## Ex 4: Find a Degree 3 Polynomial Function Given Complex Zeros

– WE WANT TO FIND AN EQUATION OF A POLYNOMIAL FUNCTION WITH REAL COEFFICIENTS HAVING ZEROS 4 AND 2 + 3I. THE FIRST THING WE SHOULD RECOGNIZE IS THAT COMPLEX ZEROS COME IN CONJUGATE PAIRS. SO IF 2 + 3I IS A ZERO OF THIS … We are asked to identify the degree, leading term, and leading coefficient of the following polynomial functions. We identify the highest power of the variable to find the degree. We identify the term containing the highest power of the variable to find the leading term. …

## Divide a Degree 3 Polynomial by a Degree 1 Polynomial (Long Division with Missing Term) We’re asked to divide, and we’ll find this quotient using long division. A fraction bar means division, so this is equal to the quantity x cubed minus three x plus five divided by the quantity x plus two. Now, both the dividend and divisor need …

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## Ex 6: Divide a Polynomial by a Degree Two Binomial Using Long Division – WE WANT TO DIVIDE THIS DEGREE 3 POLYNOMIAL BY THIS DEGREE 2 BINOMIAL, AND SINCE A FRACTION BAR REPRESENTS DIVISION, WE CAN WRITE THIS AS 2X CUBED – 8X SQUARED + 7X – 13 DIVIDED BY 2X SQUARED + 5. NOTICE HOW IN THE …

## Ex 1: Write a Degree 3 Polynomial Function as a Product of Linear Factors (2 Imaginary) – WE WANT TO FIND ALL OF THE ZEROS OF THE DEGREE 3 POLYNOMIAL FUNCTION AND THEN WRITE P OF X AS A PRODUCT OF LINEAR FACTORS. SO FOR A QUICK REVIEW, THE COMPLEX FACTORIZATION THEOREM STATES THAT IF WE HAVE A POLYNOMIAL OF DEGREE …

## Ex3: Find an Equation of a Degree 6 Polynomial Function From the Graph of the Function – WE WANT TO FIND AN EQUATION FOR THE GRAPH OF THE DEGREE 6 POLYNOMIAL FUNCTION AND ALSO LEAVE THE FUNCTION IN FACTORED FORM. BECAUSE THE POLYNOMIAL IS DEGREE 6 WE KNOW THERE IS AT MOST 6 REAL RATIONAL ZEROS OR ROOTS. AND GRAPHICALLY, WE …

## Ex2: Find an Equation of a Degree 5 Polynomial Function From the Graph of the Function – WE WANT TO FIND AN EQUATION FOR THE GRAPH OF THE DEGREE 5 POLYNOMIAL FUNCTION AND LEAVE THE FUNCTION IN FACTORED FORM. BECAUSE WE HAVE A DEGREE 5 POLYNOMIAL FUNCTION WE KNOW WE HAVE AT MOST FIVE REAL RATIONAL ZEROS OR ROOTS. SO LET’S …