Solving polynomials with the unknown "b" from ax2+bx+c{ax^2+bx+c}

Solving polynomials with the unknown "b" from ax2+bx+c{ax^2+bx+c}

In this section, we will learn how to find all the possible answers to the unknown "b" in the polynomials ax2+bx+c{ax^2 + bx+c}. Similar to the earlier sections in this chapter, we are going to apply trinomial factoring to reverse the process of FOIL to solve the problems.
Basic Concepts: Multiplying binomial by binomial, Common factors of polynomials, Solving polynomials with unknown coefficients
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.
    Determine all integers k of the following trinomials.
    a)
    2x2+kx−5{2x^2+kx-5}

    b)
    3x2+kx+4{3x^2+kx+4}

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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
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