Solving polynomials with unknown coefficients

Solving polynomials with unknown coefficients

In this lesson, we will be doing trinomial factoring to find all possible answers for the unknowns in the term in the middle of the polynomials. By doing so, we will need to reverse the process of FOIL so that we can convert the trinomials into two binomials.
Basic Concepts: Prime factorization, Multiplying binomial by binomial
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
    FOIL method:
    i) What is the FOIL method?
    ii) How to use it?
  • 1.
    Find four examples of k:
    a)
    x2+kx−8{x^2+kx-8}

    b)
    x2+kx+6{x^2+kx+6}

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18.
Factorising Polynomial Expressions
18.1
Common factors of polynomials
18.2
Factorising polynomials by grouping
18.3
Solving polynomials with the unknown "b" from x2+bx+cx^2 + bx + c
18.4
Solving polynomials with the unknown "c" from x2+bx+cx^2 + bx + c
18.5
Factorising polynomials: x2+bx+cx^2 + bx + c
18.6
Applications of polynomials: x2+bx+cx^2 + bx + c
18.7
Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
18.8
Factorising polynomials: ax2+bx+cax^2 + bx + c
18.9
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
18.10
Find the difference of squares: (a−b)(a+b)=(a2−b2)(a - b)(a + b) = (a^2 - b^2)
18.11
Evaluating polynomials
18.12
Using algebra tiles to factorise polynomials
18.13
Solving polynomial equations
18.14
Word problems of polynomials
NZ Year 10 Maths
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