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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18.
Factoring Polynomial Expressions
18.1
Common factors of polynomials
18.2
Factoring 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
Factoring 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
Factoring polynomials: ax2+bx+cax^2 + bx + c
18.9
Factoring 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 factor polynomials
18.13
Solving polynomial equations
18.14
Word problems of polynomials
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