Rules/Steps to Factoring
What does the top part of the factoring diamond represent?
the product
A rectangular patio has an area of x2+14x+48. If the length of it is (x+8) what is the width?
(x+6)
Factor: x2-7x+12
(x-4)(x-3)
What is the area of a rectangle with a length of (4x+4) and a width of (7x-5)?
28x2 + 8x - 20
3x3+15x2+18x
3x(x+3)(x+2)
what does the left and right part of the factoring diamond represent?
the factors
A rectangular window has an area of c2 - 9c - 52. What are the possible dimensions of the window?
(c-13)(c+4)
Factor: x2+3x-10
(x-2)(x+5)
4x2+4x-8
4(x-1)(x+2)
Create an trinomial with a GCF of 4x2
multiple correct answers
what does the bottom part of the factoring diamond represent?
the sum
t2-9t-36
(t-12)(t+3)
A phone has an area of h2+10h+16. Evan determined that the dimensions of the phone are (h-8) and (h-2). Are they right? If not what was their mistake?
EVAN IS WRONG!!! It should be factors of positive 8 and 2.
Factor: 8x2 - 48x - 24
8(x2-6x-3)
Factor: m2 - 16
(m-4)(m+4)
Before you factor, what do you need to look for first?
the GCF!
Factor: h2 - 14h - 72
(h-18)(h+4)
A TV has an area of v2-v-6. What are the possible dimensions of the TV?
(v-3)(v+2)
Factor: 3x2 - 9x + 18
3(x2-3x+6)
x2+9xy+8y2
(x+8y)(x+y)
name a special case of factoring (hint: special products!!)
difference of squares (a-b)(a+b)
perfect squares (a+b)2 or (a-b)2
Factor: x2 + 23x + 42
(x+21)(x+2)
Factor: y2+24y-81
(y-3)(y+27)
A rectangular table has an area of 2x2 + 6x - 8. What are the dimensions of the table?
2 and (x2+3x-4)
4g3-28g2+40g
4g(g-2)(g-5)