Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to...

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Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using a table click here. To see multiplication “in your head” click here.

Transcript of Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to...

Page 1: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Multiplying polynomials

In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication.To see multiplication using a table click here.

To see multiplication “in your head” click here.

Page 2: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Using a table

x² 3x -2

2x²

-x

4

Multiply x² + 3x – 2 by 2x² – x + 4

Page 3: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Using a table

x² 3x -2

2x²

-x

4

Multiply x² by 2x²

Page 4: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Using a table

x² 3x -2

2x² 2x4

-x

4

Multiply x² by 2x²

Page 5: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Using a table

x² 3x -2

2x² 2x4

-x

4

Multiply 3x by 2x²

Page 6: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Using a table

x² 3x -2

2x² 2x4 6x³

-x

4

Multiply 3x by 2x²

Page 7: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Using a table

x² 3x -2

2x² 2x4 6x³

-x

4

Fill in the rest of the table in the same way

Page 8: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Using a table

x² 3x -2

2x² 2x4 6x³ -4x²

-x

4

Fill in the rest of the table in the same way

Page 9: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Using a table

x² 3x -2

2x² 2x4 6x³ -4x²

-x -x³

4

Fill in the rest of the table in the same way

Page 10: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Using a table

x² 3x -2

2x² 2x4 6x³ -4x²

-x -x³ -3x²

4

Fill in the rest of the table in the same way

Page 11: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Using a table

x² 3x -2

2x² 2x4 6x³ -4x²

-x -x³ -3x² 2x

4

Fill in the rest of the table in the same way

Page 12: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Using a table

x² 3x -2

2x² 2x4 6x³ -4x²

-x -x³ -3x² 2x

4 4x²

Fill in the rest of the table in the same way

Page 13: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Using a table

x² 3x -2

2x² 2x4 6x³ -4x²

-x -x³ -3x² 2x

4 4x² 12x

Fill in the rest of the table in the same way

Page 14: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Using a table

x² 3x -2

2x² 2x4 6x³ -4x²

-x -x³ -3x² 2x

4 4x² 12x -8

Fill in the rest of the table in the same way

Page 15: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Using a table

x² 3x -2

2x² 2x4 6x³ -4x²

-x -x³ -3x² 2x

4 4x² 12x -8

Now add up all the terms in the table

First the term in x4

(x² + 3x – 2)(2x² - x + 4) = 2x4

Page 16: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Using a table

x² 3x -2

2x² 2x4 6x³ -4x²

-x -x³ -3x² 2x

4 4x² 12x -8

Now add up all the terms in the table

then the terms in x³

(x² + 3x – 2)(2x² - x + 4) = 2x4 + 5x³

Page 17: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Using a table

x² 3x -2

2x² 2x4 6x³ -4x²

-x -x³ -3x² 2x

4 4x² 12x -8

Now add up all the terms in the table

then the terms in x²

(x² + 3x – 2)(2x² - x + 4) = 2x4 + 5x³

- 3x²

Page 18: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Using a table

x² 3x -2

2x² 2x4 6x³ -4x²

-x -x³ -3x² 2x

4 4x² 12x -8

Now add up all the terms in the table

(x² + 3x – 2)(2x² - x + 4) = 2x4

then the terms in x

+ 5x³

- 3x² + 14x

Page 19: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Using a table

x² 3x -2

2x² 2x4 6x³ -4x²

-x -x³ -3x² 2x

4 4x² 12x -8

Now add up all the terms in the table

(x² + 3x – 2)(2x² - x + 4) = 2x4

and finally the constant term

+ 5x³

- 3x² + 14x- 8

Page 20: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Multiplying polynomials

To see this example of multiplication using a table again click here.

To see multiplication “in your head” click here.

To end this presentation click here.

Page 21: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Multiplying in your head

Multiply x² + 3x – 2 by 2x² – x + 4

(x² + 3x – 2)(2x² – x + 4)

Page 22: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Multiplying in your head

(x² + 3x – 2)(2x² – x + 4)

Start by multiplying the first terms in each bracket to give a term in x4

= 2x4

Page 23: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Multiplying in your head

(x² + 3x – 2)(2x² – x + 4)

Now look for pairs of terms which multiply together to give a term in x³. There are two pairs.

– x³= 2x4

Page 24: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Multiplying in your head

(x² + 3x – 2)(2x² – x + 4)

Now look for pairs of terms which multiply together to give a term in x³. There are two pairs.

– x³ + 6x³

= 2x4

Page 25: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Multiplying in your head

(x² + 3x – 2)(2x² – x + 4)

Now look for pairs of terms which multiply together to give a term in x². There are three pairs.

– x³ + 6x³

+ 4x²= 2x4

Page 26: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Multiplying in your head

(x² + 3x – 2)(2x² – x + 4)

Now look for pairs of terms which multiply together to give a term in x². There are three pairs.

– x³ + 6x³

+ 4x²= 2x4 - 3x²

Page 27: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Multiplying in your head

(x² + 3x – 2)(2x² – x + 4)

Now look for pairs of terms which multiply together to give a term in x². There are three pairs.

– x³ + 6x³

+ 4x²- 3x² - 4x²= 2x4

Page 28: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Multiplying in your head

(x² + 3x – 2)(2x² – x + 4)

Now look for pairs of terms which multiply together to give a term in x. There are two pairs.

= 2x4 – x³ + 6x³

+ 4x²- 3x² - 4x² + 12x

Page 29: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Multiplying in your head

(x² + 3x – 2)(2x² – x + 4)

Now look for pairs of terms which multiply together to give a term in x. There are two pairs.

= 2x4 – x³ + 6x³

+ 4x²- 3x² - 4x² + 12x

+ 2x

Page 30: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Multiplying in your head

(x² + 3x – 2)(2x² – x + 4)

Finally multiply the last two terms in each bracket to give the constant term.

= 2x4 – x³ + 6x³

+ 4x²- 3x² - 4x² + 12x

+ 2x - 8

Page 31: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Multiplying in your head

(x² + 3x – 2)(2x² – x + 4)

Now simplify by collecting like terms.

= 2x4 – x³ + 6x³

+ 4x²- 3x² - 4x² + 12x

+ 2x - 8

= 2x4 + 5x³ - 3x² + 14x - 8

Page 32: Multiplying polynomials In this PowerPoint presentation you will see two alternative approaches to polynomial multiplication. To see multiplication using.

Multiplying polynomials

To see multiplication using a table click here.

To see this example of multiplication “in your head” again click here.

To end this presentation click here.