emilytau0837 emilytau0837
  • 28-10-2021
  • Mathematics
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The polynomial function B(x) = x3 - 21x + 20 has a known factor of (x - 4). Rewrite B(x) as a product of linear factors.
B(x) =

Respuesta :

surjithayer10otahza surjithayer10otahza
  • 28-10-2021

Answer:

Step-by-step explanation:

i use synthetic  division.

x-4=0

x=4

4|1   0   -21    20

 |    4     16   -20

_____________

 |  1   4    -5  |0

x²+4x-5=0

x²+5x-x-5=0

x(x+5)-1(x+5)=0

(x+5)(x-1)=0

B(x)=(x+5)(x-1)(x-4)

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