Solving polynomials with unknown constant terms

Solving polynomials with unknown constant terms

Similar to the previous section, we will be using trinomial factoring too. Just this time, we are going to look for the constant term in the polynomials instead. The trick is 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

  • 1.
    Find positive and negative examples for k
    a)
    x2−5x+k{x^2-5x+k}

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

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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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