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svetlana [45]
3 years ago
7

Use the grouping method to factor this polynomial completely. 3x3 + 12x2 + 2x + 8

Mathematics
1 answer:
dezoksy [38]3 years ago
3 0

Answer:

(3x^2 + 2)(x + 4).

Step-by-step explanation:

3x3 + 12x2 + 2x + 8

3x^2(x + 4) + 2(x + 4)   The  x + 4 is common to the 2 groups so we have:

(3x^2 + 2)(x + 4).

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Answer:

  • 1) y = 13.5x + 1
  • 2) y = 12x + 4
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Step-by-step explanation:

<h3>Part 1</h3>

Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.

<u>The distance after x seconds is:</u>

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<h3>Part 2</h3>

Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.

<u>The distance after x seconds is:</u>

  • y = 12(x - 3) + 40 = 12x - 36 + 40 = 12x + 4
<h3>Part 3</h3>

<u>After 15 seconds the distance from the start line is:</u>

  • Sam   ⇒ y = 13.5*15 + 1 = 203.5 ft
  • Alice  ⇒ y = 12*15 + 4 = 184 ft

As we see Sam is further from the start line than Alice

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