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marysya [2.9K]
3 years ago
13

Consider the polynomial function

Mathematics
1 answer:
weeeeeb [17]3 years ago
7 0

Answer:

The answer to your question is (x- 6)(x - 5)(x + 2)

Step-by-step explanation:

Polynomial                x³ - 9x² + 8x + 60

Divide by                 x - 6

                               x²  - 3x  - 10

                 x  -  6     x³  - 9x²  +  8x  + 60

                             - x³ + 6x²

                               0    -3x²  +  8x

                                     +3x²  - 18x

                                       0     - 10x  + 60

                                               +10x   -60

                                                 0       0       Remainder

Result     (x² - 3x - 10)(x - 6)

Factor  x² -3x - 10 = (x - 5)(x + 2)

Final result = (x- 6)(x - 5)(x + 2)

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