Answer:
add all of the sides together
Step-by-step explanation:
<8 * (-7), 8 * (-2)>
<-56, -16>
Hope it helps, good work!
First find all possible rational roots. To do this, find all the factors of the lowest order coefficient and the highest order coefficient. For #1, the highest order coefficient is 1 because the x^3 doesn't have a number in front of it. The lowest order coefficient is 30.
Here are all the factors:
Factors of 1 are: 1
Factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
Now divide each factor of 30 (positive and negative), and divide them by each factor of 1.
All possible rational roots are:
-1, 1, -2, 2, -3, 3, -5, 5, -5, 6, -10, 10, -15, 15, -30, 30
Now we perform synthetic division like you have started to do. Try dividing the polynomial by each possible root. If the result has a remainder, that possible root does NOT work. Try another possible root. If there is not a remainder, you have found one of the roots.
For example, when dividing x^3 - 4x^2 -11x + 30 by the possible root 2, we get x^2 - 2x - 15 without a remainder. That means 2 is a root. From here we can factor the result to (x-5)(x+3).
So the roots for #1 are x = -3, 2, and 5.
Let me know if you need help with the others :)
Given rule (x,y) ->(x-3,y+4) to move points on the screen.
a) We are given first input (-6,0).
(-6,0) represents x=-6 and y=0.
Plugging values of x and y in given rule (x,y) ->(x-3,y+4), we get
(-6,0) --> (-6-3, 0+4). It would give us (-9,4)
So, first output is (-9,4).
b) We are given second input (3,-4).
(-6,0) represents x=3 and y=-4.
Plugging values of x and y in given rule (x,y) ->(x-3,y+4), we get
(-6,0) --> (3-3, -4+4). It would give us (0,0).
So, second output is (0,0).
