Question

please answer it......

Answer 1

Method (1):

f(x) = 4x^3 - 12x^2 + 14x - 3

g(x) = 2x - 1.

Now, we should divide f(x) by g(x).

          

            2x^2   -  5x  + 9/2
            -------------------------------------
2x - 1)   4x^3  -  12x^2 + 14x  -  3

            4x^3   -  2x^2 

            -----------------------------------

                        -10x^2  +  14x  -  3

                        - 10x^2  + 5x

             ----------------------------------

                                          9x -   3

                                          9x  -  9/2

             -------------------------------------

                                                      3/2





Method 2: 


Given f(x) = 4x^3 - 12x^2 + 14x - 3.

Given g(x) = 2x - 1.

By remainder theorem, g(x) = 0

= > 2x - 1 = 0

= > 2x = 1

= > x = 1/2.

Now,

plug x = 1/2, we get

= > 4(1/2)^3 - 12(1/2)^2 + 14(1/2) - 3

$= \ \textgreater \ 4( \frac{1}{8} ) - 12( \frac{1}{4}) + 7 - 3$

$= \ \textgreater \ \frac{1}{2} + 1$

$= \ \textgreater \ \frac{1 + 2}{2}$

$= \ \textgreater \ \frac{3}{2}$



Therefore the remainder is 3/2.


Hope this helps!

Answer 2

Answer:

refer to the attachment above for ur answer

Step-by-step explanation:

hope it helps you ^_^

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