Explain in your own words what the meaning of domain is.
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algebra_discussion.doc
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� EMBED Equation.3 ���-5
� EMBED Equation.3 ���5
Sum=b
0
Product=a x c
1x (-25)
x2+0x-25=0 substitute the value of bx to facilitate factorization
The denominator is a constant term
(x2+5x)(-5x-25)=0
x (x+5)-5(x+5)=0
(x+5)(x-5) are the factors for the domain
All values of x in the expression are included as dividing by the domain will yield a solution
Thus D=� EMBED Equation.3 ���
� EMBED Equation.3 ��� The Domain is Integer 2 which divides any factor in the numerator. We factorize the Numerator to obtain the factors.
� EMBED Equation.3 ���-6
� EMBED Equation.3 ���5
Sum=b
-1
Product=a x c
1x (-30)
k2+5k-6k-30=0 substitute the value of bx to facilitate factorization
(k2+5k)(-6k-30)=0
k (k+5)-6(k+5)=0
(k+5)(k-6) are the factors for the domain
k=-5 and k=6 are the excluded values in the expression since they will equal 0 in any range of values.
Thus D={K:K� EMBED Equation.3 ���� EMBED Equation.3 ���,K� EMBED Equation.3 ���(-5) ,k� EMBED Equation.3 ���6}
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� EMBED Equation.3 ��� Factorizing the domain in the form we find factors:
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