Dividing polynomials. aka the worst math subject ever
(x^3+729) / (x+8)

x^2 - 8x + 64 remainder 217 or you could write it as

(x^2 - 8x + 64)+ 217/(x + 8)

Step-by-step explanation:

You first need to write the polynomial in descending order of degree with zero coefficients for x^2 and x terms, so here we have:

x^3 + 729  =   x^3 + 0x^2 + 0x + 729

So dividing by x+8:-

          x^2 - 8x + 64    <the quotient.

x + 8 ) x^3 + 0x^2 + 0x + 729

          x^3 + 8x^2

                 - 8x^2 + 0x

                 -8x^2 - 64x

                              64x + 729

                               64x + 512

                                          217 = Remainder.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places