1. print the following worksheet - 612ATchapter7.4
2. do not do the side with Pascal's triangle (bring it to class on thursday though) - only do numbers 6 - 16 - factoring cubes!
notes: factoring cubes
always look for GCF first (as with any factoring)
(x^3 + y^3)
the factored form will be a binomial times a trinomial.
to find the binomial... simply take the cube root of each (x + y)
to find the trinomial... (using the binomial you just found) - square the first term (x^2), then multiply the first term by the second term and use the opposite sign (- xy) and then square the second term (y^2)
the result: (x + y)(x^2 - xy + y^2)
example:
3x^3 - 81
3(x^3 - 27)
3(x - 3)(x^2 + 3x + 9)
2. do not do the side with Pascal's triangle (bring it to class on thursday though) - only do numbers 6 - 16 - factoring cubes!
notes: factoring cubes
always look for GCF first (as with any factoring)
(x^3 + y^3)
the factored form will be a binomial times a trinomial.
to find the binomial... simply take the cube root of each (x + y)
to find the trinomial... (using the binomial you just found) - square the first term (x^2), then multiply the first term by the second term and use the opposite sign (- xy) and then square the second term (y^2)
the result: (x + y)(x^2 - xy + y^2)
example:
3x^3 - 81
3(x^3 - 27)
3(x - 3)(x^2 + 3x + 9)
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