________ _________
DESCRIPTION
________ _________. Factoring Chart This chart will help you to determine which method of factoring to use. Type Number of Terms. 1. GCF 2 or more 2. Diff. Of Squares 2 3. Trinomials 3. Review: (y + 2)(y + 4) Multiply using FOIL. FOIL: Combine like terms. y ² + 4y + 2y + 8 = - PowerPoint PPT PresentationTRANSCRIPT
Factoring ChartThis chart will help you to determine
which method of factoring to use.Type Number of Terms
1. GCF 2 or more
2. Diff. Of Squares 2
3. Trinomials 3
Review: (y + 2)(y + 4) Multiply using FOIL.
FOIL:
Combine like terms.
y² + 4y + 2y + 8 = y² + 6y + 8
ax2 + bx + c * If p and q are factors of ac that add to = b and p > q.
x2 + bx + c x2 - bx + c (x+p)(x+q) (x-p)(x-q)
x2 + bx – c x2 – bx - c (x+p)(x-q) (x-p)(x+q)
1) Factor. y2 + 6y + 8Create a table as shown below.
Factors of: Multiply the 1st and last coefficients.
Sum of: Middle Term
Factors of +8 Sum of +6
1) Factor. y2 + 6y + 8Place the factors in the table.
F +8 S +6
+1, +8
+2, +4
+9, NO-9, NO+6, YES
1) Factor. y2 + 6y + 8Which box has a sum of +6?
F +8 S +6+1, +8 -1, -8 +2, +4 -2, -4
Answer: (y + 2)(y + 4)
2) Factor. x2 - 2x - 63Put the factors and sum into the table, list the factors, and determine which one is correct.
-2, YES
F -63 S -2+1, -63-1, +63 +3, -21-3, +21+7, -9-7, +9
2) Factor. x2 - 2x - 63
3) Factor 5x2 - 17x + 14
Put the factors and sum into the table.
Answer: (x+7)(x-9)
3) Factor. 5x2 - 17x + 14
Factors of: Multiply the 1st and last coefficients.Sum of: Middle Term Factors of +70 Sum of -17
5x2
+ 14
3) Factor. 5x2 - 17x + 14Put the first and last terms into the box
as shown.
5x2
+ 14
3) Factor. 5x2 - 17x + 14Put factors of 70 that add to = -17 in
the other two boxes.
-10x
-7x
3) Factor. ax2 - bx + c
ax2
c
- p
q
Always take sign of this
box
Always take sign of this
box
Factor GCF
Factor GCF
Factor GCF
Factor GCF
-
+
+
+
3) Factor. 5x2 - 17x + 14
5x2
+ 14
-10x
-7x
Always take sign of this
box
Always take sign of this
box
-7
-2
Factor GCF
Factor GCF
Factor GCF
Factor GCF
x
5x
3) Factor. 5x2 - 17x + 14
It is not the easiest of things to do, but the more problems you do, the
easier it gets! Trust me!
4) Factor. 2x2 + 9x + 10
(2x + 5)(x + 2)
(x-2)(5x-7)
5) 6y2 - 13y - 5
6) 12x2 + 11x – 5
(3x-1)(4x+5) 7) 5x - 6 + x2
1st reorder: x2 + 5x -6 (x-1)(x+6)
(2y-5)(3y+1)
Factor the trinomials: