The point that is the reflection of D across the x-axis and the y-axis is point ____ (E, G, H, M) , and the coordinates of this
point are ____ 1. (3,5,3) 2. (-3.5,-3) 3. (5.5,-5) 4. (3.5,-3)
The reflection of point L across x-axis is point ____ (B, E, I, K) , and the coordinates of this point are _____ 1. (-3.5,-5) 2. (3.5,5) 3. (-3.5,5) 4. (3.5,-5)
The reflection of point L across x-axis is point ____ (B, E, I, K) , and the coordinates of this point are _____ 1. (-3.5,-5) 2. (3.5,5) 3. (-3.5,5) 4. (3.5,-5)
1 answer:
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<h3>Answer: (a - 1)(2a² + a + 2)</h3>
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Explanation:
Use the rational root theorem to determine this list of possible rational roots: 1, -1, 1/2, -1/2
Plug each possible root one at a time into the original expression given. If the simplified result is 0, then that possible root is an actual root.
If we tried say a = -1, then,
2a³-a²+a-2 = 2(-1)³-(-1)²+(-1)-2 = -6
The result is not zero, so a = -1 is not an actual root.
But if we tried say a = 1, then,
2a³-a²+a-2 = 2(1)³-1²+1-2 = 0
We get 0 so a = 1 is an actual root. I'll let you try the other values, but you should find that a = 1 is the only rational root.
Since a = 1 is a root, this makes (a-1) to be a factor.
From here, use either synthetic or polynomial long division to determine the other factor. Refer to the diagram below for each method.
Regardless of which method you pick, the quotient is 2a² + a + 2 which is the other factor needed. The remainder of 0 tells us we have (a-1) as a factor. For more information, check out the remainder theorem.
Answer:
Answer is below
Step-by-step explanation:
Add 9 to both sides.
Divide both sides by 6