If complex coefficients are allowed, the answer is 3.
If the polynomial must have real coefficients, then each complex root comes as a pair of complex conjugate roots.
Root -5 is real, so that is 1 root, and degree 1.
Root 1 + 4i is complex, so it must come with its complex conjugate, 1 - 4i. This adds 2 roots to the polynomial, and now we're up to degree 3.
Root -4i is also complex. It also must come with its complex conjugate, 4i. That adds two more roots, and the degree is 5.
Answer: The least possible degree is 5 with real coefficients.
<span>Given that f(x) = 2x + 5 and g(x) = x − 7
</span>f(g(x)) = 2(x − 7) + 5
f(g(x)) = 2x - 14 + 5
f(g(x)) = 2x - 9
when x = −3 , f(g(-3)) = 2(-3) - 9 = - 6 - 9 = -15
Answer
<span>A. −15</span>
Answer:
the numbers are 7 and -3
Step-by-step explanation:
Answer: 6 hours
Step-by-step explanation:
Let x= the number of hours they've worked
12x+6x=108
Combine like terms
18x=108
Divide 18 on both sides
18/18 x=108/18
x=6
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Answer:
105
Step-by-step explanation: