Answer:
2x³+3x²-8x+3
Step-by-step explanation:
So we know x=½,x=1 and x=-3
Then (2x-1)(x-1)(x+3) are the factors
(2x-1)[(x²+3x-x-3)]
(2x-1)[(x²+2x-3)]
2x³+4x²-6x-x²-2x+3
2x³+3x²-8x+3
The answer to the following equation is the first one.
Answer:

Step-by-step explanation:
First, we can find the slope using the slope equation and two of the points.
Slope equation:

I'm going to use the first two points just so I can avoid the fraction... Substitute the x and y values into the equation.

Simplify:

Now that we have the slope, all we need is the y-intercept. Luckily, it gives it to us in the table. The x value of y-intercepts will always be 0. Looking at the table, we see that the point where x=0 is (0,2). Thus, the y-intercept is 2. Your final equation is

3. Answer: y = 4
<u>Step-by-step explanation:</u>
Need to find the slope (m):


= 
= 0
Now input ONE of the points (1, 4) and the slope (m = 0) into the Point-Slope formula:
y - y₁ = m(x - x₁)
y - 4 = 0(x - 1)
y - 4 = 0
y = 4
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4. Answer: 
<u>Step-by-step explanation:</u>




