Answer: quotient is 2x^2 + 10x - 5
Solution:
The first polynomial is miswritten.
The right one is: 2x^3 + 4x^2 - 35x + 15.
So, the division is [2x^3 + 4x^2 - 35x + 15] / (x - 3)
The synthetic division uses the coeffcients and obviate the letters, but you have to be sure to respect the place of the coefficient.
So, in this case it is:
3 | 2 4 -35 15
---------------------------------
2 10 - 5 0
So, the quotient is 2x^2 + 10x - 5, and the remainder is 0.
I like to show it in this other way:
| 2 4 -35 15
|
|
3 | +6 +30 -15
--------------------------------
2 10 - 5 0
Of course they are the same coefficients and the answer continue being quotien 2x^2 + 10x - 5, remainder 0.
They are supplementary angles. They are located on a straight line, and when added together they will add up to 180 degrees.
Answer: 1/6
Reason:
There's 1 side labeled "4" out of 6 sides total. So that's where the 1/6 comes from.
The "given that you already rolled a four on the first die" is unneeded info in my opinion, because each die is separate or independent from one another.
-4(-4) = positive 16
Positive 16(-4) = -64
-64 is your answer
