Wednesday, June 5, 2013

Quadratics Exploration


Topic: Factoring polynomials
Aim: How can we write a quadratic expression from a product of two binomial factors?
Do Now: What is the quadratic expression given the
factors (x+2)(x-5)?
The product in standard form
(x+2)(x-5)
FOIL method:
First: (x) (x) = x2
Outer: (x) (-5) = -5x
Inner: (2) (x) = 2x
Last: (2) (-5) = -10
Standard form of the quadratic expression is:
X2 - 5x + 2x -10 = x2 - 3x -10
Complete a, b, c
Find the quadratic expression in standard form
Finding the factors given the quadratic expression in standard form
x2 + 5x + 6
Use the diamond method:
+5 (add)
  +3  +2
+6 (multiply)
Factors are (x+ 3)(x+2).
Check using FOIL to see if you are correct!
Complete a – f
Get the factors given the quadratic expression
Complete your final project on quadratics
Complete all parts of the assignment!
All questions # 1, 2 (page 25)
All questions #1 – 3 (page 24)
Make sure you show all work clearly and include your name and period on your answer sheets.
Leave in basket in front of room by the time the bell rings
Do NOT leave your work in your folder!!!
Perfect squares
Multiply each of these expressions to get a quadratic expression:
(x + 4)2  = (x+4)(x+4)
F: x2
O: 4x
I: 4x
L: 16
x2 + 8x + 16
Exit slip
How do the factors you found in Question #2 relate to the x-intercepts if you were to graph each quadratic expression?
Recall the graph of a quadratic is a parabola.