Word problems of polynomials

Word problems of polynomials

In this section, we will solve geometric word questions, such as, calculating the area of shaded areas, by using polynomial factoring.
Basic Concepts: Multiplying monomial by monomial, Multiplying monomial by binomial, Multiplying binomial by binomial, Multiplying polynomial by polynomial
Related Concepts: Unknown number related questions in linear equations, Distance and time related questions in linear equations, Rectangular shape related questions in linear equations, Applications of quadratic functions

Lessons

  • 1.
    Find the area of the shaded regions
    a)

    Word problems of polynomials. Calculate area of polygons

    b)

    Word problems of polynomials

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12.
Factorising Polynomial expressions
12.1
Common factors of polynomials
12.2
Factorising polynomials by grouping
12.3
Solving polynomials with the unknown "b" from x2+bx+cx^2 + bx + c
12.4
Solving polynomials with the unknown "c" from x2+bx+cx^2 + bx + c
12.5
Factorising polynomials: x2+bx+cx^2 + bx + c
12.6
Applications of polynomials: x2+bx+cx^2 + bx + c
12.7
Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
12.8
Factorising polynomials: ax2+bx+cax^2 + bx + c
12.9
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
12.10
Find the difference of squares: (a−b)(a+b)=(a2−b2)(a - b)(a + b) = (a^2 - b^2)
12.11
Evaluating polynomials
12.12
Using algebra tiles to factorise polynomials
12.13
Solving polynomial equations
12.14
Word problems of polynomials
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