Multiply two polynomials using the FOIL method, Box method and the distributive property

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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!

Go to the next slide!

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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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