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AlexFokin [52]
3 years ago
7

Match each polynomial in standard form to its equivalent factored form.

Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0

Answer:

  • 8x^3+1   ⇒   (2x+1)(4x^2−2x+1)
  • 2x^4+16x   ⇒   2x(x+2)(x^2−2x+4)
  • x^3+8   ⇒   (x+2)(x^2−2x+4)

Step-by-step explanation:

The factoring of the sum of cubes is ...

  a³ +b³ = (a +b)(a² -ab +b²)

1. a=2x, b=1

  = (2x)³ + 1³

__

2. There is an overall factor of 2x. Once that is factored out, a=x, b=2.

  = (2x)(x³ +2³)

__

3. a=x, b=2

  = x³ +2³

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