Answer:
Same
Step-by-step explanation:
Sally collected 8 and Jake had 12. Together they had 20.
Answer:

Step-by-step explanation:
p(x) has degree 3
(x - 4) has degree 1
So p(x) can be rewritten as a polynomial of degree 2 multiplying (x-4)
So

To find a, b and c, we have to divide p(x) by x - 4.
So
Finding a:
Dividing the first term of p(x) by x - 4.

So a = 3.
Now multiplying 3x² by, x - 4, we have:

Subtracting p(x) from this:

Finding b:
Dividing the first term, after the subtraction, by x - 4.

So b = -8.
Multiplying -8x by x - 4, we have:

Then
Finding c:

So c = 5.
Just to verify if the remainder is 0.


Ok
Then:


Let Q be the point (a, b). Since the midpoint of P (2, 3) and Q (a, b) is (4, 6), we have
(2 + a)/2 = 4
(3 + b)/2 = 6
Solve for a and b :
(2 + a)/2 = 4
2 + a = 8
a = 6
(3 + b)/2 = 6
3 + b = 12
b = 9
So the coordinates of Q are (6, 9).