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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19.
Quadratic Functions
19.1
Factorise by taking out the greatest common factor
19.2
Factorise by grouping
19.3
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
19.4
Factorising difference of squares: x2−y2x^2 - y^2
19.5
Factorising trinomials
19.6
Solving polynomials with unknown coefficients
19.7
Solving polynomials with unknown constant terms
19.8
Properties and graphs of quadratic functions
GCE N(A)-Level Maths
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