Question 8 of 10 According to the synthetic division below, which of the following statements
are true?
Check all that apply.
3) 2 - 2
6
-12
12
2
4
0
A. The number -3 is a root of F(x) = 2x2 - 2x-12.
U
B. The number 3 is a root of (x) = 2x2 - 2x - 12.
I c. (x-3) is a factor of 2x2 - 2x - 12.
O D. (x+3) is a factor of 2x2 - 2x - 12.
E. (2x2 - 2x-12) - (x+ 3) = (2x+4)
F. (2x2 - 2x-12) + (-3) = (2x + 4)

despair

Step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

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