# Multiply two polynomials using the FOIL method, Box method and the distributive propertyPage 2

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Slide 11

3) Multiply (3x - 5)(5x + 2)

First terms:

Outer terms:

Inner terms:

Last terms:

Combine like terms.

15x2 - 19x  10

15x2

+6x

-25x

-10

You have 3 techniques. Pick the one you like the best!

15x2

+6x

-25x

-10

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Slide 12

4) Multiply (7p - 2)(3p - 4)

First terms:

Outer terms:

Inner terms:

Last terms:

Combine like terms.

21p2  34p + 8

21p2

-28p

-6p

+8

21p2

-28p

-6p

+8

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Slide 13

Multiply (y + 4)(y  3)

y2 + y  12

y2  y  12

y2 + 7y  12

y2  7y  12

y2 + y + 12

y2  y + 12

y2 + 7y + 12

y2  7y + 12

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Slide 14

Multiply (2a  3b)(2a + 4b)

4a2 + 14ab  12b2

4a2  14ab  12b2

4a2 + 8ab  6ba  12b2

4a2 + 2ab  12b2

4a2  2ab  12b2

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Slide 15

5) Multiply (2x - 5)(x2 - 5x + 4)

You cannot use FOIL because they are not BOTH binomials. You must use the distributive property.

2x(x2 - 5x + 4) - 5(x2 - 5x + 4)

2x3 - 10x2 + 8x - 5x2 + 25x - 20

Group and combine like terms.

2x3 - 10x2 - 5x2 + 8x + 25x - 20

2x3 - 15x2 + 33x - 20

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Slide 16

5) Multiply (2x - 5)(x2 - 5x + 4) You cannot use FOIL because they are not BOTH binomials. You must use the distributive property or box method.

2x3

-5x2

-10x2

+25x

+8x

-20

Almost done!

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Slide 17

5) Multiply (2x - 5)(x2 - 5x + 4) Combine like terms!

2x3

-5x2

-10x2

+25x

+8x

-20

2x3  15x2 + 33x - 20

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Slide 18

Multiply (2p + 1)(p2  3p + 4)

2p3 + 2p3 + p + 4

y2  y  12

y2 + 7y  12

y2  7y  12

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