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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17.
Factorising Polynomial Expressions
17.1
Common factors of polynomials
17.2
Factorising polynomials by grouping
17.3
Solving polynomials with the unknown "b" from x2+bx+cx^2 + bx + c
17.4
Solving polynomials with the unknown "c" from x2+bx+cx^2 + bx + c
17.5
Factorising polynomials: x2+bx+cx^2 + bx + c
17.6
Applications of polynomials: x2+bx+cx^2 + bx + c
17.7
Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
17.8
Factorising polynomials: ax2+bx+cax^2 + bx + c
17.9
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
17.10
Find the difference of squares: (a−b)(a+b)=(a2−b2)(a - b)(a + b) = (a^2 - b^2)
17.11
Evaluating polynomials
17.12
Using algebra tiles to factorise polynomials
17.13
Solving polynomial equations
17.14
Word problems of polynomials
AU Year 10 Maths
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