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Solving polynomials with the unknown "b" from ax2+bx+c
- Lesson: 1a3:11
- Lesson: 1b4:28
Solving polynomials with the unknown "b" from ax2+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. 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−y2, Factoring trinomials
Lessons
- 1.Determine all integers k of the following trinomials.a)2x2+kx−5b)3x2+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+c
12.4
Solving polynomials with the unknown "c" from x2+bx+c
12.5
Factorising polynomials: x2+bx+c
12.6
Applications of polynomials: x2+bx+c
12.7
Solving polynomials with the unknown "b" from ax2+bx+c
12.8
Factorising polynomials: ax2+bx+c
12.9
Factorising perfect square trinomials: (a+b)2=a2+2ab+b2 or (a−b)2=a2−2ab+b2
12.10
Find the difference of squares: (a−b)(a+b)=(a2−b2)
12.11
Evaluating polynomials
12.12
Using algebra tiles to factorise polynomials
12.13
Solving polynomial equations
12.14
Word problems of polynomials
Don't just watch, practice makes perfect
Solving polynomials with the unknown "b" from ax2+bx+c
Don't just watch, practice makes perfect.
We have plenty of practice questions in Transition Year Maths for you to master.
Get Started NowPractice topics for 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+c
12.4
Solving polynomials with the unknown "c" from x2+bx+c
12.5
Factorising polynomials: x2+bx+c
12.6
Applications of polynomials: x2+bx+c
12.7
Solving polynomials with the unknown "b" from ax2+bx+c
12.8
Factorising polynomials: ax2+bx+c
12.9
Factorising perfect square trinomials: (a+b)2=a2+2ab+b2 or (a−b)2=a2−2ab+b2
12.10
Find the difference of squares: (a−b)(a+b)=(a2−b2)
12.11
Evaluating polynomials
12.13
Solving polynomial equations
12.14
Word problems of polynomials