(2)(4) + (2)(5) + (3)(4) + (3)(5) =

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Presentation transcript:

(2)(4) + (2)(5) + (3)(4) + (3)(5) = Warm up: (2 + 3)(4 + 5) = (5)(9) = 45 (2)(4) + (2)(5) + (3)(4) + (3)(5) = 8 + 10 + 12 + 15 = 45

Polynomials

Monomials (1 term) 4x 4x2 4x3y2

Binomials (2 terms) 4x + 2 4x2 + 3y 4x3y+2xy

Trinomials (3 terms) 4x2 + 2x + 5 10x2 + 3x + 6 4x3 + 2x2 + 5x

Multiplying Monomials

4x 4x (4x)(2x) 4 • 2 • x • x 8x2 -

4x 4x (-4x)(5x) -4 • 5 • x • x -20x2 -

4x 4x (-3x)(x) -3 • x • x -3x2 -

4x 4x (3x)(5) 3 • 5 • x 15x -

4x 4x (-7)(5x) -7 • 5 • x -35x -

Multiplying Binomials

– 4 3x – 4 3x (3x + 4)(2x + 3)

(2)(4) + (2)(5) + (3)(4) + (3)(5) = 45 (2 + 3)(4 + 5) = (5)(9) = (2)(4) + (2)(5) + (3)(4) + (3)(5) = 8 + 10 + 12 + 15 = 45

Distributive Property – 4 3x – 4 3x Use the Distributive Property (3x + 4)(2x + 3) 6x2 + 9x + 8x + 12 6x2 + 17x + 12

The FOIL Method (for multiplying binomials

First (3x + 4) (2x + 3) 6x2

Outside (3x + 4) (2x + 3) 6x2 + 9x

Inside (3x + 4) (2x + 3) 6x2+9x+8x

Last (3x + 4) (2x + 3) 6x2+9x+8x+12 6x2+17x+12

The method F O I L (x + 5)(x – 2 ) + x² + -2x + 5x + -10 x² + 3x – 10

The method F O I L (5x + 4)(2x + 2) 10x² + 10x + 8x + 8 10x² + 18x + 8

The method F O I L (x + 3)(2x – 2 ) + 2x² + -2x + 6x + -6 2x² + 4x – 6

The method F O I L (3x + 1)(3x + 3) 9x² + 9x + 3x + 3 9x² + 12x + 3

The method F O I L (-x + 1)(-x + 3) x² + -3x + -1x + 3 x² - 4x + 3

The method F O I L (3a +2b)(a + 3b) 3a² + 11ab + 6b2 + 9ab 3a² + 2ab