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vladimir2022 [97]
3 years ago
7

Attached a phot please help!

Mathematics
1 answer:
musickatia [10]3 years ago
6 0

Answer:

  • -5, -18
  • -5x -18x
  • (x -3)(6x -5)

Step-by-step explanation:

a) The factors of 90 are ...

  90 = (-1)(-90) = (-2)(-45) = (-3)(-30) = (-5)(-18) = (-6)(-15) = (-9)(-10)

The sums of these factors are -91, -47, -33, -23, -21, -19.

The factor pair with the sum of -23 is of interest here. Those factors are ...

  -5, -18

__

b) -23x = -5x -18x

__

c) The rewritten expression is ...

  6x^2 -5x -18x +15

  (6x^2 -5x) -(18x -15) . . . . group into pairs

  x(6x -5) -3(6x -5) . . . . . . .factor each pair

  (x -3)(6x -5) . . . . . . . . . . factor out the common factor (6x -5)

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