Using algebra tiles to factor polynomials

Using algebra tiles to factor polynomials

Algebra tiles can be used to represent polynomials. We can also use those tiles to solve polynomials. In this lesson, we will try to solve some polynomials using algebra tiles.
Basic Concepts: Model and solve one-step linear equations: ax=bax = b, xa=b\frac{x}{a} = b, Solving two-step linear equations using addition and subtraction: ax+b=cax + b = c, Solving two-step linear equations using multiplication and division: xa+b=c\frac{x}{a} + b = c, Solving two-step linear equations using distributive property: a(x+b)=c\;a\left( {x + b} \right) = c
Related Concepts: Determining number of solutions to linear equations, Solving systems of linear equations by graphing, Solving systems of linear equations by elimination, Solving systems of linear equations by substitution

Lessons

  • 1.
    Representing polynomials using algebra tiles:

    Using algebra tiles to solve polynomials
    a)
    2x(x−2){2x(x-2)}

    b)
    (x−3)(4x+1){(x-3)(4x+1)}

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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