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Elza [17]
3 years ago
13

Find (x³+x²-20x+24) divided by (x-3)​

Mathematics
1 answer:
Rus_ich [418]3 years ago
3 0

Answer:

\frac{x^3 + x^2 -20x + 24}{x-3} = x^2 +4x-8

Step-by-step explanation:

Given;

p(x) = x³ + x²- 20x + 24

factor of p(x) = x-3

Apply long division method;

                 x² + 4x - 8

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

x - 3     √ x³ + x²- 20x + 24

             -( x³ - 3x²)

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

                      4x² - 20x + 24

                    -(4x²  -12x )

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

                               -8x  + 24

                             - (-8x  + 24)

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

                                       0

thus, \ \frac{x^3 + x^2 -20x + 24}{x-3} = x^2 +4x-8

                       

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