Brian McLogan
Factoring a polynomial completely
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...
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Factorization of Polynomials: Using Identities to Simplify Expressions
This video teaches about the factorization of polynomials using various identities, including the square of a binomial and trinomial, and the cube of a binomial. The video also provides examples of how to use these identities to solve...
Brian McLogan
Write polynomial equation from linear factorization
Write polynomial equation from linear factorization
Brian McLogan
Find the x and y intercepts to graph a polynomial linear factorization
Find the x and y intercepts to graph a polynomial linear factorization
Brian McLogan
Messy Polynomial Factor GCF
In this video we are going to work on factoring a polynomial by the GCF. On a problem like this where factoring out the GCF is not obvious we are going to want to refer to grouping. ⭐️ Factor the polynomial three times - • Factor the...
Brian McLogan
Find the Zeros of a Polynomial Then Write Out Using Linear Factorization
👉 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
How to write the linear factorization from the quadratic formula
👉 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
Factor by Grouping to Find the Zeros and Write the Linear Factorization
👉 Learn how to find all the zeros of a polynomial by grouping. 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...
Brian McLogan
Learn How to Write the Linear Factorization and Zeros of a Polynomial to the Fourth Power
👉 Learn how to find all the zeros of a polynomial in the form of the difference of two squares. 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...
Brian McLogan
Factoring a polynomial using the difference of two cubes
👉 Learn how to factor polynomials using the sum or difference of two cubes. 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...
Brian McLogan
How to Solve and Write the Linear Factorization when Factoring a Polynomial
👉 Learn how to find all the zeros of a polynomial in the form of the difference of two squares. 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...
Brian McLogan
Solve and write the linear factorization using the sum of two cubes
👉 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)....
Brian McLogan
Write the linear factorization and solve quadratic
👉 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
How division relate to linear factorization and zeros
👉 Learn how to divide polynomials using the long division algorithm. To be able to solve a polynomial, we need to be able to get the factors and hence the zeros. To get the factors, we use the rational zeros theorem to get one of the...
Brian McLogan
How to use long division to understand linear factorization and zeros
👉 Learn how to divide polynomials using the long division algorithm. To be able to solve a polynomial, we need to be able to get the factors and hence the zeros. To get the factors, we use the rational zeros theorem to get one of the...
Brian McLogan
Factoring a polynomial by difference of two squares and GCF first
👉 Learn how to factor polynomials using the difference of two squares for polynomials raised to higher powers. 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...
Brian McLogan
Using prime factorization to factor out the GCF
👉 Learn how to factor polynomials by GCF. 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 it...
Brian McLogan
Multiplicity of zeros by factoring a polynomial equation
👉 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 a hard trinomial
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
How to graph a polynomial from linear factorization
👉 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 Zeros 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
How to write the polynomial equation given imaginary zeros
👉 Learn how to write the equation of a polynomial when given imaginary 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
Learn how to find the all the zeros of a polynomial with sum of two cubes
👉 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)....
Brian McLogan
How to find all the roots 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...