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Today's Agenda: • any ?s on corrections
• Start 3.2.2 notes• YOTL....WS
Joke of the Day : What plays music on your head?
a Head Band!
Today's TargetI Can...
...
3.2.2 Notes
simplify rational expressions
and find the restrictions.
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Multiply or DivideName __________________________________ Period ____
x2 + 10x + 25
x2 + 9x + 20
x2 - 9
3x - x2
x2 + 5x +4
2x2+7x+3
x2+8x+15
3.2.2 Rationals INTRO
Factor:
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9.4 Rationals INTRO
3.2.2 - Rational Expressions
Rational Expression - a fraction where the numerator and denominator are polynomials
Examples:
a) 4 b) x2 - 25 c) x2 + 7x + 12 x + 1 x + 5 x2 - x - 12
I can: simplify rational expressions
and find the restrictions.
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To put a rational expression in simplest form means:
top and bottom will have no common factors
Examples of simplest form:
12 = (4)(3) = (4)(3) = 3 8 (4)(2) (4)(2) 2
a.
b. (x+2)(x+3) = (x+2)(x+3)= (x+3) x(x+2) x(x+2) x
ex 1
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Common mistakes!!
c. 4 + 3 = 7 4 4
mistake:
4 + 3 = 3 4
OR
a. 5(5+6) = 5 4(5+6) 4
b. x5(x+3) = x2
x3(x+3)
c. x + 5 = x 5
d. (x+2)(x-4) = 2 x(x-4)
ex 2
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A denominator may not be
the number, _____.
Therefore you must state restrictions. Restrictions are needed to prevent the denominator of the original expression from being 0.
"In your own words, ask, ____________________________________and use this notation: _________________
Reduce the following:
x2 + 10x + 25 = x + 5x2 + 9x + 20 x + 4
x2 - 9 = x + 33x - x2 -x
Ex 3State restrictions on the variable.
Ex 4
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Ex. 5
*** Interesting!
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YOTL:
WS 3.2.2
Today's TargetI Can...
...
9.4 Day 2
multiply and divide rational expressions and find the restrictions.
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DAY 2 Mult/Div Rationals
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Additional Things to Watch! :
a a a = = b b b
a c = ac b d bd
a a d ad b = b c = bc c d
m = m = m q = p 1 1 p q p q
(5x) = (x+5) = (x5)
Put in simplest form:
x2 + 5x +4 x2 1 x + 5
ex 1
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a. 2x2+7x+3 x216 x 4 x2+8x+15
ex 2 Multiply. State any restrictions.
4x 5(x4) (3x+2)(x2) (x2)(7y5)
ex. 3
÷
Divide. State any restrictions.
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2x2 6x x2 9 x2 +18x +81 9x + 81
ex. 4
÷
Divide. State any restrictions.
YOTL:
WS 94AND TEST INTERVENTION to BUY A BONUS QUIZ
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YOTL:
p. 511, 512 7 17, odd, 27 31 odd, check your answers in back of book for accuracy