Transcript Glencoe Algebra 2

You factored polynomials. (Lesson 5–3)
• Simplify rational expressions.
• Simplify complex fractions.
• rational expression
• complex fraction
Simplify a Rational Expression
A. Simplify
.
Look for common factors.
●
Eliminate common
factors.
Simplify.
Answer:
Simplify a Rational Expression
B. Under what conditions is the expression
undefined?
Just as with a fraction, a rational expression is
undefined if the denominator equals zero.
The original factored denominator is
(y + 7)(y – 3)(y + 3).
Answer: The values that would make the
denominator equal to 0 are –7, 3, and –3.
So the expression is undefined at y = –7,
y = 3, and y = –3.
A. Simplify
.
A.
B.
0%
A
B
C
0%
D
D
A
0%
B
D.
C
C.
A.
B.
C.
0%
D.
B. Under what conditions is the expression
undefined?
A. x = 4 or x = –4
0%
B
D. x = –5
A
0%
A
B
C
0%
D
D
C. x = –5, x = 4, or x = –4
C
B. x = –5 or x = 4
A.
B.
C.
0%
D.
Simplify Using –1
Simplify
.
Factor the numerator and
the denominator.
b – 2 = –(–b + 2) or
–1(2 – b)
Simplify.
Answer: –a
Multiply and Divide Rational Expressions
A. Simplify
.
Simplify.
Simplify.
Answer:
Multiply and Divide Rational Expressions
B. Simplify
Multiply by the
reciprocal of the
divisor.
Simplify.
Multiply and Divide Rational Expressions
Simplify.
Answer:
A. Simplify
.
A.
A
0%
0%
B
D.
A
B
C
0%
D
D
C.
A.
B.
C.
0%
D.
C
B.
B. Simplify
.
A. AnsA
B. AnsB
0%
B
A
0%
A
B
C
0%
D
D
D. AnsD
C
C. AnsC
A.
B.
C.
0%
D.
Polynomials in the Numerator and Denominator
A. Simplify
.
Factor.
1 + k = k + 1,
1 – k = –1(k – 1)
= –1
Answer: –1
Simplify.
Polynomials in the Numerator and Denominator
B. Simplify
.
Multiply by the reciprocal
of the divisor.
Factor.
Polynomials in the Numerator and Denominator
Simplify.
Answer:
A. Simplify
.
A.
A
0%
0%
B
D. –1
A
B
C
0%
D
D
C. 1
A.
B.
C.
0%
D.
C
B.
Simplify Complex Fractions
Simplify
.
Express as a
division expression.
Multiply by the
reciprocal of the
divisor.
Simplify Complex Fractions
–1
Factor.
Simplify.
Answer:
D.
0%
0%
A.
B.
C.
D.
0%
A
B
C
D
0%
D
e
B.
C
C.
e
B
A.
.
A
Simplify