Question

What is the quotient: (6x4 - 15x3 + 10x2 - 10x + 4) ÷ (3x2 + 2) ?
Choose one answer. a. 2x2 - 5x + 2
b. 2x2 + 5x - 2
c. 2x2 - 5x - 2
d. 2x2 + 5x + 2

Answer 1

Solve for x over the real numbers:
2 x^2-5 x+2 = 0
Factor the left hand side.
The left hand side factors into a product with two terms:
(x-2) (2 x-1) = 0
Solve each term in the product separately.
Split into two equations:
x-2 = 0 or 2 x-1 = 0
Look at the first equation: Solve for x.
Add 2 to both sides:
x = 2 or 2 x-1 = 0
Look at the second equation: Isolate terms with x to the left hand side.
Add 1 to both sides:
x = 2 or 2 x = 1
Solve for x.
Divide both sides by 2:
Answer: |
| x = 2 or x = 1/2