Answer:
-130356
Step-by-step explanation:
solve for bracket first
4-21730 = -21726 then multiply by 6 =
-130356
Answer:
f(x) = (x -2)(x -1+3i)(x -1-3i)
Step-by-step explanation:
You can use synthetic division to find the remaining quadratic factor in the cubic. Then any of the usual means of solving the quadratic will help you find its linear factors.
In the attached, I show the synthetic division, the factoring to real numbers, and the solution that finds the complex linear factors by completing the square.
Of course, you know that for zeros a, b, and c, the linear factors are ...
f(x) = (x -a)(x -b)(x -c)
Here, we have a=2, b=1-3i, c=1+3i.
f(x) = (x -2)(x -1+3i)(x -1-3i)
First, factor out a 3.
3(x² - 9)
In any quadratic ax² + bx + c, we can split the bx term up into two new terms which we want to equal the product of a and c.
In this case, we have x² + 0x - 9. (the 0x is a placeholder)
We want two numbers that add to 0 and multiply to get -9.
Obviously, these numbers are 3 and -3.
Now we have 3(x² + 3x - 3x - 9).
Let's factor.
3(x(x+3)-3(x+3))
<u>3(x-3)(x+3)</u>
There are multiple shortcuts which you could make here, FYI:
Instead of splitting the middle, if your a value is 1, you can go straight to that step (x+number)(x+other number).
Whenever you have a difference of squares, like a²-b², that factors to (a+b)(a-b).
Answer:y=-5/3x+1
-5/3
1
Step-by-step explanation:you move the 5x to the right making the equation 3y=-5x + 3, then you divide everything by 3. You then find the other info by knowing y=mx+b which means m=slope and b = y intercept
Answer:
For x = 10:

For y = - 3:

Step-by-step Explanation:
Before we start let's recall the formula for the linear equations.

So first let's solve for x=10:

Move 10 to the other side.

As there is no y given we will simply write 0y.

Now let's solve for y=-3:

Move -3 to the other side.

As there is no x given we will simply write 0x.

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