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Find the zeros of the polynomial function and state the multiplicity of each.
f(x) = 3(x + 7)^2(x  7)^3
 one year ago
 one year ago
Find the zeros of the polynomial function and state the multiplicity of each. f(x) = 3(x + 7)^2(x  7)^3
 one year ago
 one year ago

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keeponbleedingBest ResponseYou've already chosen the best response.1
I think the zeros are 7 and 7...whats the multiplicity?
 one year ago

genius12Best ResponseYou've already chosen the best response.1
Yes, the equation is only ever equal to 0 when either x is 7 or x is 7. Thus: Zeros: x = 7, 7 Multiplicities are just the number of times each zero occurs. That is to say, the power or exponent of the zero. In this case, we (x+7)^2 and (x7)^2, each occurs twice. Therefore, the multiplicity of the zero x = 7, is 2 (since it's power is 2), and the multiplicity of the zero x = 7 is also 2 (since it's power is also 2).
 one year ago

keeponbleedingBest ResponseYou've already chosen the best response.1
thanks so much I understand now!
 one year ago

keeponbleedingBest ResponseYou've already chosen the best response.1
oh wait, my choices have: 7, multiplicity 2; 7, multiplicity 3 7, multiplicity 3; 7, multiplicity 2
 one year ago

keeponbleedingBest ResponseYou've already chosen the best response.1
+7 must be 3 correct? so option 1?
 one year ago
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