Find the Product (x + 4)(x + 7) 2. (x + 14)(x + 2) Monday, March 10th Find the Product (x + 4)(x + 7) 2. (x + 14)(x + 2)

A Look Ahead Monday: Factoring GCF Tuesday: Factoring when a=1 Wednesday: Factoring when a≠1 Thursday: Review Factoring Friday: Quiz

Reminders Next Test: Wednesday, March 20th All Make up work for this unit is due then Test #2 (Graphing Quadratics) retest needs to be completed by then.

EOCT Week #10 What is the vertex of the graph of f(x) = 𝒙 𝟐 + 10x – 9? A. (5, 66) B. (5, –9) C. (–5, –9) D. (–5, –34)

Questions On Homework?!

Graphing Graph the function y = x2 + 2x – 3 using a table. x -3 -2 -1 Then, find the x-intercepts, which we will call the zeroes for the rest of this unit. x = ___ and x = ___ x -3 -2 -1 1 f (x)  

FACTORING https://www.youtube.com/watch?v=OFSrINhfNsQ

Factoring=Writing Polynomial as a PRODUCT Goal = UNdistribute

So, how would I work the other way?

Today’s Method GCF

Find the GCF for the following numbers Essential Skill-GCF GCF=GREATEST COMMON FACTOR Find the GCF for the following numbers 12 and 24 6 and 12

Steps to Factoring Out a GCF: Find the GCF of all its terms (number and/or variables). Write the polynomial as a product by factoring out the GCF from all the terms. - This is done by dividing the original terms of the polynomial by the GCF. The remaining factors in each term will form a polynomial.

Find the GCF of each polynomial 3x² + 9x c³ + c² + c 6k²-36k

#1 2x2 – 16x + 24 2(x2 – 8x +12)

You Try... 2. 3y2 + 36y + 60 3(y²+12y+20) 3.

Prime Polynomials Example: When one is only factoring out the GCF common factor that the expression is PRIME Example:

Factoring

Sign Rule: When the last term is POSITIVE… The signs inside the parenthesis will be the SAME as the middle number’s sign

Figuring out the Numbers Check to see… What multiplies to give you the last number AND adds to give you the middle number?

x2 +7x + 6 x2 +7x + 6 ( )( ) x x + 6 + 1

x2 + 9x + 14 x2 + 9x + 14 ( )( ) x x + 7 + 2

x2 – 6x + 8 x2 – 6x + 8 ( )( ) x x – 4 – 2

x2 – 10x + 16 x2 – 10x + 16 ( )( ) x x – 8 – 2

Sometimes you can factor out a GCF 1st!

2x2 – 16x + 24 2(x2 – 8x +12) 2( )( ) x x – 6 – 2

You Try... 3y2 + 36y + 60 3(y +10)(y +2) 4x2 +24x + 32 4(x + 2)(x + 4)