Mathematics

Question

PLZZ HELPP!!! WILL GIVE BRAINLIEST!!!
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

2 Answer

  • Answer: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

  • Answer:

    [tex]\text{B. }2x^{2} - 4x - 1 - \dfrac{9}{4x + 1}[/tex]

    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

    [tex]\dfrac{8x^{3} + 18x^{2} - 10} {4x+1} = 2x^{2} - 4x - 1 - \dfrac{9}{4x + 1}[/tex]

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