Brian McLogan
Give One Imaginary Zero Find the Remaining Zeros
π Learn how to find all the zeros of a polynomial given one complex zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a...
Brian McLogan
Given a Factor Find the Quotient and Write as a Product of Factors
π Learn how to find all the zeros of a polynomial given one rational zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a...
Brian McLogan
Finding the Zeros of a Polynomial to the Fourth Degree
π Learn how to find all the zeros of a polynomial. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values...
Brian McLogan
Finding and graphing the vertical and horizontal asymptotes
π Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Brian McLogan
What is important to know about polynomials?
What is important to know about polynomials?
Brian McLogan
Why does synethetic division different than long division
π Learn about dividing by synthetic division when the divisor is a fraction. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for...
Brian McLogan
Using the remainder theorem to confirm if you have a zero or not
π Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear...
Brian McLogan
Determining the possible rational zeros using the rational zero test
π Learn how to use the Rational Zero Test on Polynomial expression. Rational Zero Test or Rational Root test provide us with a list of all possible real Zeros in polynomial expression. Rational Zero Test can be helpful to find all the...
Brian McLogan
Master writing the equation of a polynomial given rational zeros
Master writing the equation of a polynomial given rational zeros
Brian McLogan
Learn how to solve a polynomial using the difference of two cubes and quadratic formula
π Learn how to find the zeroes of a polynomial equation/expression involving the sum/difference of two cubes. Given a polynomial having the sum of two cubes, the polynomial can be factored as follows: a^3 + b^3 = (a + b)(a^2 - ab + b^2)....
Curated Video
Understanding Units of Data Measurement
This video tutorial provides a comprehensive explanation of the different measurements of data used in GCSE Computer Science courses in the UK, covering units like bits, nibbles, bytes, kilobytes, and beyond. It also highlights the...
Curated Video
Power of Ten
In this short math video we will answer a standardized math test question where we demonstrate our understanding of place value relative to power of ten. We will first understand that a power of ten with an exponent of 1 is 10. The 10...
Brian McLogan
ACT SAT Prep adding a decimal to a fraction
ACT SAT Prep adding a decimal to a fraction
Packt
CompTIA Network+ Certification N10-007: The Total Course - More Classless Inter-Domain Routing (CIDR) Subnetting Practice
This video offers more instructions for subnetting using CIDR. This clip is from the chapter "Transmission Control Protocol/Internet Protocol (TCP/IP) Basics" of the series "CompTIA Network+ Certification N10-007: The Total Course".In...
Brian McLogan
How to apply factoring to a word problem of a rectangle
πLearn the basics of factoring quadratics by using different techniques. Some of the techniques used in factoring quadratics include: when the coefficient of the squared term is not 1. In that case, we first write the quadratic in...
Brian McLogan
Determine the number of extrema of a polynomial
π Learn how to determine the extrema from a graph. The extrema of a function are the critical points or the turning points of the function. They are the points where the graph changes from increasing to decreasing or vice versa. They are...
Brian McLogan
How to Determine All of the Zeros of a Polynomial
π Learn how to find all the zeros of a polynomial that cannot be easily factored. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros...
Brian McLogan
Given two complex zeros & a real write the equation of the polynomial
π Learn how to write the equation of a polynomial when given complex zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The...
Brian McLogan
Given a Complex Zero Find the Remaining Zeros Using Synthetic Division
π Learn how to find all the zeros of a polynomial given one complex zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a...
Brian McLogan
Factoring polynomials to find the zeros and multiplicity
Factoring polynomials to find the zeros and multiplicity
Brian McLogan
Applying descartes rule of signs to determine the number or real positive & negative zeros
π Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also...
Brian McLogan
How to sketch the graph a polynomial using factors and multiplicity
π Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the...
Brian McLogan
How to find the real root of a cubic function
π Learn how to find all the zeros of a polynomial. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values...
Brian McLogan
Given irrational zeros write the equation of the polynomial
π Learn how to write the equation of a polynomial when given irrational zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers....