Determine the Quadrant where an Angle Terminates – degrees 143-8.1.2.a

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 …

Degree, Leading Term, and Leading Coefficient of a Polynomial Function

Degree, Leading Term, and Leading Coefficient of a Polynomial Function

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)

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 …

In Africa, Algebra Alleviates Poverty | Poverty reduction in Nigeria

In Africa, Algebra Alleviates Poverty | Poverty reduction in Nigeria

TIME magazine called him “the unsung hero behind the Internet.” CNN called him “A Father of the Internet.” President Bill Clinton called him “one of the great minds of the Information Age.” He has been voted history’s greatest scientist of African descent. He is Philip …

Ex 6: Divide a Polynomial by a Degree Two Binomial Using Long Division

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)

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

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

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 …