Relation 1 is a function because we don't have any repeated x values. Each input goes to exactly one output.
On the other hand, relation 2 is <u>not</u> a function because x = 4 repeats itself. The input x = 4 leads to more than one output.
Answer:
The answer to your question is p = -2 q = -6 remainder = -10
Step-by-step explanation:
Data
Dividend = 8x⁴ - 2x² + 6x - 7
Divisor = 2x + 1
Quotient = 4x³ + px² - qx + 3
Process
1.- Divide using long division
4x³ - 2x² + 3
2x + 1 8x⁴ + 0x³ - 2x² + 6x - 7
- 8x⁴ - 4x³
0 - 4x³ - 2x²
+ 4x³ +2x²
0 0 + 6x - 7
-6x - 3
0 - 10 Remainder
px² = -2x² then p = -2
-qx = 6x then q = -6
You just multiply them together
For roots, r1 and r2 the factors are
(x-r1)(x-r2)
roots are 6 and -5
(x-6)(x+5)
and a point is (-1,3)
(x,y)
y=a(x-6)(x+5)
3=a(-1-6)(-1+5)
B is the answer
