chadandtricia_2009
s4 – 16
A. (s - 2)2(s + 2)2
B. (s - 2)(s + 2)
C. (s - i)(s + i)(s - 2)(s + 2)
D. (s - 2i)(s + 2i)(s - 2)(s + 2)
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chadandtricia_2009
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I think the answer is B
Calcmathlete
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Again, no.
Do you recognize that this is a difference in squares?
Calcmathlete
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Ok. Do you see how s^2 * s^2 = s^4? and that 4 * 4 = 16?
chadandtricia_2009
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yes so that means the answer has to be A
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Nope...
\[s^{4} - 16 = (s^{2} - 4)(s^{2} + 4)\]Now, do you realize that s^2 - 4 is also a difference in squares?
Calcmathlete
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Alright. The form
\[a^{2} - b^{2} = (a + b)(a - b)\]Therefore, \[s^{2} - 4 = (s + 2)(s - 2)
The same for s^2 + 4. It turns imaginary. \[s^{2} + 4 = (s - 2i)(s + 2i)
chadandtricia_2009
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so the answer is C
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You've guessed every answer except the correct one...
chadandtricia_2009
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ok thanks for the help I get it now.
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You're welcome :)
chadandtricia_2009
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What is the degree of each monomial?
7m6n5
A. 5
B. 11
C. 6
D. 7
chadandtricia_2009
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how do you firgure out the degrees?