Factoring polynomials: ax2+bx+cax^2 + bx + c

Factoring polynomials: ax2+bx+cax^2 + bx + c

Before starting this lesson, check your understanding on how to factor x2+bx+c{x^2 + bx + c}
we talked about in the other lesson first. The coefficient, a, in front of x2{x^2}
can make it a bit more challenging, but we will show you the tricks to make it easy!
Basic concepts: Prime factorization, Multiplying binomial by binomial, Common factors of polynomials, Factoring polynomials: x2+bx+cx^2 + bx + c,
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
    Overview of factoring polynomials with a coefficient in front of x2x^2
  • 1.
    Factor the following:
    a)
    9x2+3x−2{9x^2+3x-2}

    b)
    21x2−41x+10{21x^2-41x+10}

    c)
    8x2+x−9{8x^2+x-9}

    d)
    15x2−16x−15{15x^2-16x-15}

  • 2.
    Factor with common factoring first
    a)
    −36x2−96xy−64y2{-36x^2-96xy-64y^2}

    b)
    −3a2(b+1)2−2a(b+1)2+5(b+1)2{-3a^2(b+1)^2-2a(b+1)^2+5(b+1)^2}

  • 3.
    Factor with unusual exponents
    a)
    −6x8a+17x4ay4b−10y8b{-6x^{8a}+17x^{4a}y^{4b}-10y^{8b}}

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28.
Factorising Polynomial expressions
28.1
Common factors of polynomials
28.2
Factorising polynomials by grouping
28.3
Solving polynomials with the unknown "b" from x2+bx+cx^2 + bx + c
28.4
Solving polynomials with the unknown "c" from x2+bx+cx^2 + bx + c
28.5
Factorising polynomials: x2+bx+cx^2 + bx + c
28.6
Applications of polynomials: x2+bx+cx^2 + bx + c
28.7
Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
28.8
Factorising polynomials: ax2+bx+cax^2 + bx + c
28.9
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
28.10
Find the difference of squares: (a−b)(a+b)=(a2−b2)(a - b)(a + b) = (a^2 - b^2)
28.11
Evaluating polynomials
28.12
Solving polynomial equations
28.13
Word problems of polynomials
Third Year Maths
Don't just watch, practice makes perfect.