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)

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•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?

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•Recall the graph of a quadratic is a parabola.

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