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Brian McLogan
How to apply synthetic division when your zero is a fraction
👉 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
Find the Solution Set of a Polynomial by Factoring
👉 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
Multiplying two exponents and adding the powers the easy way
In this video playlist I will show you the basics for polynomial functions. We will start with factoring polynomial equations to determine the zeros of a polynomial. We will then learn how to write the polynomial given a set of zeros....
Brian McLogan
Learn How to Solve a Polynomial by Factoring Completely the Polynomial
👉 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
Determine if you have a factor of a polynomial using the factor theorem
👉 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
Find the Zeros and Multiplicity of a Factor Raised to the Third Power
👉 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
How to find the zeros by factoring as well as label the multiplicity
👉 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
How to Factor Completely to Solve for the Solutions of a Polynomial
👉 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
Learn how to write the equation of a polynomial in standard form given zeros
👉 Learn how to write the equation of a polynomial when given rational 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
How to divide two monomials
👉 Learn how to apply the rules of exponents to simplify an expression. We will focus on applying the product rule, quotient rule as well as power rule. We will then explore multiple properties such as power to product, power to quotient...
Brian McLogan
How to factor out a GCF from a polynomial to then completely factor
Learn how to factor higher order trinomials. 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. To factor an algebraic expression means to break...
Brian McLogan
Learn How to Factor and Solve a Polynomial to the 4th Power
👉 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
How to find the real zero of a cubic function
👉 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
How to Find the Real Zeros by Solving a Cubic Function in Vertex Form
👉 Learn how to find all the zeros of a factored 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...
Brian McLogan
Finding the roots of a polynomial by factoring to the 4th power
👉 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
Factoring Out the GCF so that You can Solve a Polynomial to the 5th Degree
👉 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...
Curated Video
Sketch and Factorize Cubic Functions
The video is a lecture presentation on sketching and factorizing cubic functions. The speaker explains the general shape of a cubic function and key trends to know such as three roots, two roots, and one root. The speaker also...
Curated Video
Relate Factors and Zeros Using the Factor Theorem
This video explains the relationship between factors and zeros of a polynomial using the factor theorem. The remainder theorem is also discussed as a precursor to understanding the factor theorem. Review how to determine if a polynomial...
Brian McLogan
Exam Review Understanding roots, zeros, factors of a polynomial
Exam Review Understanding roots, zeros, factors of a polynomial
Curated Video
Calculus: Finding Error Bound and Area of a Curve
The video involves solving an example in calculus involving finding the interval and error bound between a curve and the accessory axis. The process involves using the factor theorem, algebraic division, and factoring. The video also...