Plzz ! will give !
let f(x) = 8x^3 + 18x^2 − 10 and g(x) = 4x + 1. find f(x)/g(x).
a. 2x^2 + 4x - 1 + 9/4x + 1
b. 2x^2 + 4x - 1 - 9/4x + 1
c. 2x^2 + 4x + 1 + 9/4x + 1
d. 2x^2 + 4x + 1 - 9/4x + 1

B. 2x^2 + 4x - 1 - 9/4x + 1

Step-by-step explanation:

f(x) = 8x^3 + 18x^2 − 10

g(x) = 4x + 1

We want to determine f(x)/g(x). We would apply the long division method. The steps are shown in the attached photo.

The correct answer is

2x^2 + 4x - 1 - 9/4x + 1

Step-by-step explanation:

One way is to use long division.

          2x² +  4x           -   1            

4x + 1) 8x³ + 18x²         - 10

          8x³  +  2x²                    

                    16x²

                    16x² + 4x              

                              -4x - 10

                              -4x -   1

                                    -   9

30005

yes ok                                            

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116