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erastovalidia [21]
3 years ago
6

Factor completely: 15x^2 − 40x − 15.

Mathematics
2 answers:
slega [8]3 years ago
4 0
-5(3+8x+3x^2) this was my answer I’m sorry if I’d gotten it wrong
Elodia [21]3 years ago
3 0

Answer:

The answer to your question is 5(x - 3)(x + 3)

Step-by-step explanation:

                                            15x² - 40x - 15

Multiply the first and the last term  (15) x (-15) = -225

Find the prime factors of -225

                                                    -225   3

                                                     - 75    3

                                                     - 25    5

                                                       -  5   5

                                                           -1

Find two numbers that added gives -40 and multiply gives -40 using the prime factors:

These numbers are     -45 ( 3 x 5 x 3) and 5

Write -40 as the addition of the numbers just found       -40 = -45 + 5

Write the original polynomial using these numbers    15x² - 45x + 5x - 15

Factor by grouping                                                     15x(x - 3) + 5(x - 3)

                                                                                      (x - 3)(15x + 5)

Factor by like terms the second term                          (x - 3)(5)(x + 3)

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