Applications of polynomials: x2+bx+cx^2 + bx + c

Applications of polynomials: x2+bx+cx^2 + bx + c

In this section, we will apply all the techniques of polynomial factoring to solve word problems related to geometric objects.
Basic Concepts: Multiplying monomial by binomial, Multiplying binomial by binomial, Multiplying polynomial by polynomial, 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

  • 1.
    Factoring Word Problems
    a)
    The volume of a rectangular prism is (k3+7k2+12k)(k^3+7k^2+12k) m3m^3. Find the dimensions in terms of k.

    b)
    A sheet of cardboard is 5 m by 7 m and has squares x m wide cut from each corner.
    The sides are folded up to become an open-top box.
    Find the volume of the box in a factored form.

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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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