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Factoring Polynomials 3383 Views
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Description:
Factoring polynomials allows us to group things—and everything's always better in groups. Well... almost everything.
- Algebra / Perform arithmetic operations on polynomials
- Algebra / Understand the relationship between zeros and factors of polynomials
- Algebra / Understand the relationship between zeros and factors of polynomials
- Algebra / Use polynomial identities to solve problem
- Algebra / Rewrite rational expressions
- Algebra / Perform arithmetic operations on polynomials
- Algebra / Understand the relationship between zeros and factors of polynomials
- Algebra / Use polynomial identities to solve problems
- Algebra / Rewrite rational expressions
Transcript
- 00:03
Factoring polynomials by grouping a la shmoop!
- 00:07
Grunkle.. goblinvilles newest architect was having trouble constructing a hovel his [Goblin architecht thinking of a design]
- 00:12
hovel looks like this if he doesn't finish it by sundown he will look like
- 00:17
this and you help grunkle simplify his blueprints.. the area of the hovel floor [Tomatoes hit grunkle in the face]
- 00:24
should be x squared plus 3 X plus 2 X plus 6 all those polynomials are making
Full Transcript
- 00:30
Grunkle rather blue which is unfortunate since Grunkle is usually a lovely [Grunkle with dirt on his face crying]
- 00:33
emerald green good thing we can factor this polynomial by grouping.. the first
- 00:39
two terms have a common factor of X and the last two terms have a common factor [Two terms with common factor X and last two terms common factor of 2]
- 00:43
of two we can rewrite the polynomial as x times X plus 3 plus 2 times X plus 3. See
- 00:55
another factor we can pull out into both terms have X plus 3 as a factor we can [People browsing through binoculars over a lake]
- 01:01
pull out an x plus 3 from each, this gives us X plus 2 times X plus 3
- 01:07
happy factorization Grunkle all you have to do now is look at your blueprint to [Grunkle stood beside a rainbow with his hovel blueprint]
- 01:12
see what X is and x equals the length of a ferocious jungle Jabberwocky sorry [Jabberwocky chases Grunkle away]
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