SOLUTION: Please help me solve this,(4x^2_9)divide by (2x+3)

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Question 1203479: Please help me solve this,(4x^2_9)divide by (2x+3)
Found 4 solutions by MathLover1, josgarithmetic, ikleyn, math_tutor2020:
Answer by MathLover1(20849) About Me  (Show Source):
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Depends what you are expected to know or what method you are told to use.
One learns very early on %28a-b%29%28a%2Bb%29=a%5E2%2Bab-ab%2Bb%5E2=a%5E2-b%5E2

Seeing you have the difference of two squares,
4x%5E2-9
%282x%29%5E2-3%5E2
%28%282x%29%2B3%29%28%282x%29-3%29
So the division to perform using this is obvious.


Maybe you want to use polynomial division?
           2x     -3
       ____________________________
2x+3   |   4x^2    0x    -9
           4x^2    6x
         --------------
           0      -6x   -9
                  -6x   -9
                 ---------
                  0    0     remainder 0

Directly demonstrating 4x%5E2-9 divided by 2x%2B3 is highlight%282x-3%29.

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

You use incorrect button, when you print the  " - "  sign.

In this case,  we still are able to guess correctly,
but in other cases it may lead to critical misunderstanding.


Learn to print your posts correctly and make it with full responsibility.


Learn the buttons in your keyboard.



Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

Tutor @josgarithmetic offers two great methods. Another alternative is synthetic division.

I think the difference of squares method is the most efficient route as shown by tutor @MathLover1