Key Terms
What is Factoring?
What is defined as the breaking or decomposition of an entity.
Use factoring by grouping to factor the trinomial...
2x2+5x-3
2x2 + 5x - 3 = 2x2 + 6x - x - 3
=(2x2 + 6x)+(-x - 3)
=2x (x + 3)-(x + 3)
= (x + 3)(2x - 1)
So, the trinomial factors as 2x2+5x-3 = (x + 3)(2x - 1)
Factor the polynomial completely..
10y2 + 70
10(y2+7)
What is prime polynomials?
What is A polynomial that cannot be factor into any lower degrees.
Use factoring by grouping to factor the trinomial 6x2- 11x -10
6x2- 11x -10 = 6x2- 15x + 4x -10
=(6x2 - 15x) + (4x - 10)
=3x(2x - 5) + 2(2x - 5)
=(2x - 5)(3x + 2)
factor the polynomial completely..
28m2 - 21m
7m(4m-3)
What is Factoring Completly?
What is the process of factoring a number until no other factors are found.
Use factoring by grouping to factor the trinomial 3x2 + 13x - 16
(3x-1)(x-16)= 3x2 + 47x - 16
(3x-16)(x+1)= 3x2 - 13x - 16
(3x+16)(x-1)= 3x2 + 13x - 16
3x2 + 13x - 16= (3x+16)(x-1)
factor the polynomial completely..
2x2y + 8xy - 64y
2y(x+8)(x-4)