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- Factorising Polynomial Expressions
Applications of polynomials: x2+bx+c
- Lesson: 1a1:44
- Lesson: 1b2:32
Applications of polynomials: x2+bx+c
In this section, we will apply all the techniques of polynomial factoring to solve word problems related to geometric objects.
Basic Concepts: Multiplying monomial by binomial, Multiplying binomial by binomial, Multiplying polynomial by polynomial, Factoring polynomials: x2+bx+c
Related Concepts: Factor by taking out the greatest common factor, Factor by grouping, Factoring difference of squares: x2−y2, Factoring trinomials
Lessons
- 1.Factoring Word Problemsa)The volume of a rectangular prism is (k3+7k2+12k) m3. Find the dimensions in terms of k.b)A sheet of cardboard is 5 m by 7 m and has squares x m wide cut from each corner.
The sides are folded up to become an open-top box.
Find the volume of the box in a factored form.
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17.
Factorising Polynomial Expressions
17.1
Common factors of polynomials
17.2
Factorising polynomials by grouping
17.3
Solving polynomials with the unknown "b" from x2+bx+c
17.4
Solving polynomials with the unknown "c" from x2+bx+c
17.5
Factorising polynomials: x2+bx+c
17.6
Applications of polynomials: x2+bx+c
17.7
Solving polynomials with the unknown "b" from ax2+bx+c
17.8
Factorising polynomials: ax2+bx+c
17.9
Factorising perfect square trinomials: (a+b)2=a2+2ab+b2 or (a−b)2=a2−2ab+b2
17.10
Find the difference of squares: (a−b)(a+b)=(a2−b2)
17.11
Evaluating polynomials
17.12
Using algebra tiles to factorise polynomials
17.13
Solving polynomial equations
17.14
Word problems of polynomials
Don't just watch, practice makes perfect
Practice topics for Factorising Polynomial Expressions
17.1
Common factors of polynomials
17.2
Factorising polynomials by grouping
17.3
Solving polynomials with the unknown "b" from x2+bx+c
17.4
Solving polynomials with the unknown "c" from x2+bx+c
17.5
Factorising polynomials: x2+bx+c
17.6
Applications of polynomials: x2+bx+c
17.7
Solving polynomials with the unknown "b" from ax2+bx+c
17.8
Factorising polynomials: ax2+bx+c
17.9
Factorising perfect square trinomials: (a+b)2=a2+2ab+b2 or (a−b)2=a2−2ab+b2
17.10
Find the difference of squares: (a−b)(a+b)=(a2−b2)
17.11
Evaluating polynomials
17.13
Solving polynomial equations
17.14
Word problems of polynomials