Answer:
Step-by-step explanation:
Let 
. We have that 
if and only if we can find scalars 
such that 
. This can be translated to the following equations:
1. 
2.
3. 
Which is a system of 3 equations a 2 variables. We can take two of this equations, find the solutions for 
and check if the third equationd is fulfilled.
Case (2,6,6)
Using equations 1 and 2 we get
whose unique solutions are 
, but note that for this values, the third equation doesn't hold (3+2 = 5 
6). So this vector is not in the generated space of u and v.
Case (-9,-2,5)
Using equations 1 and 2 we get
whose unique solutions are 
. Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.
The answer is 9 3/7 the last one
Point slope equation:
y-y1=m(x-x1)
m=slope
So we simply plug in our given information:
x1=-8
y1=2
m=1/2
y-2=1/2(x-(-8)
2 minus signs next to each other make a positive
Final answer:
y-2=1/2(x+8)
The required polynomial is:
Step-by-step explanation:
Let P be the polynomial that has to be found
Given
One polynomial = 
Sum of both polynomials = 
So,
Hence,
The required polynomial is:
Keywords: Polynomials, expressions
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