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tiwaribianca475
26.09.2019 •
Mathematics
Find the zeros of the polynomial function and state the multiplicity of each.
f(x) = 3(x + 7)^2(x - 7)^3
a. -7, multiplicity 2; 7, multiplicity 3
b. 4, multiplicity 1; 7, multiplicity 1; -7, multiplicity 1
c. -7, multiplicity 3; 7, multiplicity 2
d. 4, multiplicity 1; -7, multiplicity 3; 7, multiplicity 3
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Ответ:
zeros are r such that (x-r)
multiplicity is how many times that factor repeats
look a it
f(x)=3(x+7)^2(x-7)^3
factors are
(x+7) and (x-7)
see the x+7 appears 2 times since it is to the 2nd power, means multiplicity 2
x-7 appears 3 times since to 3rd power, means multipilcty 3
but the roots are negative
so
(x-(-7))^2 and (x-7)^3
roots are -7 multiplicty 2 and 7 multiplicty 3
A is answer
Ответ:
G. Division Property of Inequality