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Multiply Polynomials When multiplying polynomials, we always use the Distributive Property.

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Presentation on theme: "Multiply Polynomials When multiplying polynomials, we always use the Distributive Property."— Presentation transcript:

1

2 Multiply Polynomials

3 When multiplying polynomials, we always use the Distributive Property.

4 -x (4x 2 + x - 8) + 7 (4x 2 + x - 8). -4x 3 – x 2 + 8x + 28x 2 + 7x - 56 Combine like terms. -4x x x - 56

5 x (-4x 2 + 5x - 2) - 3 (-4x 2 + 5x - 2). -4x 3 + 5x 2 - 2x + 12x x + 6 Combine like terms. -4x x x + 6

6 SHORTCUT A SHORTCUT of the distributive property is called the FOIL method.

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8 6x 2 FOIL First

9 FOIL 6x 2 - 8x Outer

10 FOIL First Outer Inner 6x 2 - 8x + 3x

11 Combine like terms. 6x 2 - 5x - 4 FOIL First 6x 2 - 8x + 3x - 4 Outer Inner Last

12 F irst terms O uter terms I nner terms L ast terms

13 F O I L 5x(3x) + 5x(-2) + 2(3x) + 2(-2). 15x 2 – 10x + 6x - 4 Combine like terms. 15x 2 – 4x - 4

14 F O I L 2x 2 + 7x – 8x – 28 Combine like terms. 2x 2 – x – 28

15 F O I L 2x 2 – 18x + 3x – 27 Combine like terms. 2x 2 – 15x – 27

16 (x + 3) (2x – 7) = 2x 2 – 7x + 6x – 21 Combine like terms. 2x 2 - x - 21 (2x-7)

17 Write a polynomial that represents the area of the shaded region: (x+6)


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