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mihalych1998 [28]
3 years ago
14

4x^3 +5x+10 divided by 2x+3 equals

Mathematics
2 answers:
Radda [10]3 years ago
8 0

Step-by-step explanation:

step 1. what is the question? simplify the following expression (4x^3 + 5x + 10)/(2x + 3)? let's simplify with division.

2x^2 + 3x - 2

_________________

step 2. 2x + 3. / 4x^3 + 5x + 10

4x^3 + 6x^2

6x^2 + 9x

-4x + 10

-4x - 6.

R16

step 3. the answer is 2x^2 + 3x -2 R16 or 2x^2 + 3x -2 + 16/(2x + 3).

Aleksandr-060686 [28]3 years ago
6 0

Answer:

Step-by-step explanation:

                     

              __<u>_2x²_- 3x_+ 7</u>____________

2x + 3   I  4x³ + 0x²  + 5x + 10                  1) 4x³ ÷ 2x = 2x²

                 4x³ + 6x²                                      (2x + 3)*2x² = 2x * 2x² + 3*2x²

               <u>-        -           </u>                                                      = 4x³ + 6x²

                         -6x²   + 5x                         2) -6x²÷ 2x  = -3x

                        -6x²    -9x                              (2x + 3)*(-3x) =2x*(-3x) +3*(-3x)

                       <u> +         +</u>                                                       = -6x² - 9x

                                   14x   + 10                 3) 14x ÷ 2x = 7

                                   14x    + 21                     (2x + 3) *7  = 14x + 21

                                  <u>-          -       </u>

                                               <u>-11</u>

Quotient = 2x²   - 3x + 7

Remainder = -11

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