Common factors of polynomials

Common factors of polynomials

You will need the similar skill set to find the common factors of polynomials as you do prime factorization. For polynomials, you need to also do the numbers as well as the variables.
Basic Concepts: Multiplying monomial by monomial, Multiplying monomial by binomial, Multiplying binomial by binomial, Multiplying polynomial by polynomial
Related Concepts: Factor by taking out the greatest common factor, Factor by grouping, Factoring difference of squares: x2−y2x^2 - y^2, Factoring trinomials

Lessons

  • Introduction
    a)
    • Review on Common Factors
    • How to find common factors of polynomials?

  • 1.
    Common factor of the polynomials
    a)
    16a4−8a3+4a2{16a^4-8a^3+4a^2}

    b)
    −15x2y−10xy2{-15x^2y-10xy^2}

    c)
    23x3+53x{2 \over3 }{x^3 + }{ 5 \over 3}x

    d)
    7a3(x−2)+3(x−2) {7a^3(x-2)+3(x-2)}

    e)
    (b−1)−2(1−b){(b-1)-2(1-b)}

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13.
Factoring polynomial Expressions
13.1
Common factors of polynomials
13.2
Factoring polynomials by grouping
13.3
Solving polynomials with the unknown "b" from x2+bx+cx^2 + bx + c
13.4
Solving polynomials with the unknown "c" from x2+bx+cx^2 + bx + c
13.5
Factoring polynomials: x2+bx+cx^2 + bx + c
13.6
Applications of polynomials: x2+bx+cx^2 + bx + c
13.7
Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
13.8
Factoring polynomials: ax2+bx+cax^2 + bx + c
13.9
Factoring perfect square trinomials: (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2 or (a−b)2=a2−2ab+b2(a - b)^2 = a^2 - 2ab + b^2
13.10
Find the difference of squares: (a - b)(a + b) = a2−b2a^2 - b^2
13.11
Evaluating polynomials
13.12
Using algebra tiles to factor polynomials
13.13
Solving polynomial equations
13.14
Word problems of polynomials
Basic Algebra
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