jhayr811
Answered

Makakuha ng mga solusyon sa iyong mga katanungan sa Imhr.ca, ang mabilis at tumpak na Q&A platform. Tuklasin ang malalim na mga sagot sa iyong mga tanong mula sa isang malawak na network ng mga propesyonal sa aming madaling gamitin na Q&A platform. Nagbibigay ang aming platform ng seamless na karanasan para sa paghahanap ng mapagkakatiwalaang sagot mula sa isang malawak na network ng mga propesyonal.

What is the answer of this problem
2x^3-5÷x+2?


Sagot :

domini
[tex]\bold{Given\ Equation:} \\ \\ 2x^3-5\div x+2\implies \bold{\frac{2x^3-5}{x+2}} \\ \\ \bold{Solution:} \\ \\ \frac{2x^3-5}{x+2} \ \ \ \ \ \ |\ ^{follow\ the\ rules\ of\ dividing\ fractions} \\ \\ \bold{So\ the\ final\ answer\ is...} \\ \\ \boxed{\bold{2x^2-3}} \\ \\ Hope\ it\ Helps :) \\ Domini [/tex]

Given equation:
                                [tex] \frac{2x^{3}-5}{x+2} [/tex]


Solution:

                                        2x²   - 4x + 8         

                   x    +   2     |   2x³                  -  5

                                         2x³ + 4x²              

                                                 -4x²         - 5

                                                 -4x²  - 8x      

                                                           8x - 5

                                                                 16

                                                                -21

Answer: 

2x² - 4x + 8 with a remainder of -21 or 2x² - 4x + 8 + [tex] \frac{-21}{x+2} [/tex]


Check:

                ( x + 2 ) ( 2x² - 4x + 8 ) =   2x³ + 16

There is a remainder which is  -21.

            2x³ + 16 + -21 =  2x³ - 5, CORRECT


Final answer:

                      2x² - 4x + 8 + [tex] \frac{-21}{x+2} [/tex]