Question

Select the correct answer.

What is this expression in simplest form?
z+2
4x² + 5z +1
.
O A. (z+1)(z-2)
O B.
OC.
OD.
(= = 2)
4x+1
(z+1)(z-2)
+2

Answer 1

The given expression is:

(z+2)/(4x^2 + 5z + 1)

To simplify this expression, we can factor the denominator using the quadratic formula:

4x^2 + 5z + 1 = 0

x = (-5z ± √(5z^2 - 16))/8

So the expression can be rewritten as:

(z+2)/[(4x + 1)(x - (5z - √(5z^2 - 16))/8)]

Therefore, the correct answer is:

C. (z+2)/[(4x + 1)(x - (5z - √(5z^2 - 16))/8)]

Explanation: