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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18.
Factorising Polynomial Expressions
18.1
Common factors of polynomials
18.2
Factorising polynomials by grouping
18.3
Solving polynomials with the unknown "b" from x2+bx+cx^2 + bx + c
18.4
Solving polynomials with the unknown "c" from x2+bx+cx^2 + bx + c
18.5
Factorising polynomials: x2+bx+cx^2 + bx + c
18.6
Applications of polynomials: x2+bx+cx^2 + bx + c
18.7
Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
18.8
Factorising polynomials: ax2+bx+cax^2 + bx + c
18.9
Factorising 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
18.10
Find the difference of squares: (a−b)(a+b)=(a2−b2)(a - b)(a + b) = (a^2 - b^2)
18.11
Evaluating polynomials
18.12
Using algebra tiles to factorise polynomials
18.13
Solving polynomial equations
18.14
Word problems of polynomials
NZ Year 10 Maths
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