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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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
Transition Year Maths
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