Factoring By GCF
By GCF Method, factor (2x2 + 10x - 16)
2(x2 + 5x - 8)
Factor the trinomial: (6x2 + 17x + 5)
(2x + 5)(3x + 1)
Is this factored completely: 3x2(x2 + 9). Why or why not?
Yes, there are no more common factors between x2 and 9.
A polynomial with two terms is
What is a binomial?
By GCF Method, factor (-12x2 + 8x - 20)
–4(3x2 – 2x + 5)
Factor the trinomial: (x2 + 5x - 6)
(x+6)(x-1)
Factor the trinomial completely: (2x2 + 2x - 4)
2(x+2)(x-1)
Factor this special trinomial: (4x2 + 20x + 25)
(2x+5)2
Factor completely: (3x3y + x2y2)
x2y(3x + y)
What do we call a binomial that represents the difference of two perfect squares?
What is a special product?
By GCF Method, factor (x3 + x2 + x)
x(x2 + x + 1)
Factor the trinomial: (x2 + 4x − 45)
(x+9)(x-5)
Factor the trinomial: (6x2 + 11x + 3)
(2x + 3)(3x + 1)
Factor this special binomial: (x2 - 16)
(x-4)(x+4)
Factor completely: (2p5 + 10p4 - 12p3)
2p3(p - 1)(p + 6)
A polynomial consisting of three terms.
What is a trinomial?
By GCF Method, factor (2x4 - 16x3 + 2x)
2x(x3 - 8x2 + 1)
Factor the trinomial: (x2 − 16x + 48)
(x-12)(x-4)
Factor the trinomial: (6x2 + 7x - 3)
(2x + 3)(3x - 1)
Can you factor this binomial, if so do it: (1 - 4x2)
(1 + 2x)(1 - 2x)
Factor Completely: (9x6 + 30x5 + 24x4)
3x4(x + 2)(3x + 4)
What do we call the number that is in the "a" position of ax2 + bx + c
What is the leading coefficient?
Factor the trinomial: (x2 − 20x − 125)
(x-25)(x+5)
Factor the trinomial: (3x2 - 2x - 8)
(3x + 4)(x - 2)
Factor this special trinomial: (16x4 - 1)
(4x2 + 1) (2x - 1) (2x + 1)
Factor completely: (6x2 – 47x + 35)
(6x – 5)(x – 7)
When you rearrange terms in order of highest degree to smallest degree is is said to be in this form
What is Standard Form