Answer: Q(x) = x² - 4x + 2
<u>Step-by-step explanation:</u>
P(x) · Q(x) = R(x) ⇒ Q(x) = R(x)/P(x)
R(x) = x³ - 2x² - 6x + 4 ÷ P(x) = x + 2
I will use synthetic division (but you can also use long division).
-2 | 1 -2 -6 4
<u>| ↓ -2 8 -4 </u>
1 -4 2 0 ← remainder
The reduced polynomial is: x² - 4x + 2
The solution to the set of equations is (0,2).
Reasoning:
m + 4n = 8 -> 0 + 4(2) = 8
m = n - 2 -> 0 = 2 - 2
