5.4b Factoring Special Cases

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5.4b Factoring Special Cases
Be master of your petty annoyances and conserve your energies
for the big, worthwhile things. It isn't the mountain ahead that
wears you out - it's the grain of sand in your shoe.
Perfect Square Trinomials
Ex 1) What happens when…
a) (x +2)2
b) (2x - 3)2
Factoring Perfect Square Trinomials
a  2ab  b  (a  b)
2
2
2
a  2ab  b  (a  b)
2
2
2
1st and 3rd terms are always positive
Ex 2) x  4 x  4
2
Ex 3) 4 x 2  12 x  9
Factoring Perfect Square Trinomials
Ex 4) x2 + 10x + 25
Ex 5) 64x2 - 48x + 9
Difference of 2 Squares
Ex 6) x  4
2
Ex 7) 4 x  81
2
Difference of 2 Squares
a  b  (a  b)(a  b)
2
Ex 8) x  64
2
2
Ex 9) 25 x  16
2
Factoring Examples
Ex 10) 36 x  49
2
5.4b Factoring Special Cases
HW: #32-56 even
Be master of your petty annoyances and conserve your energies
for the big, worthwhile things. It isn't the mountain ahead that
wears you out - it's the grain of sand in your shoe.
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