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aleksklad [387]
2 years ago
15

PLEASE HELP THIS IS MY FIRST QUESTION!! 100 POINTS

Mathematics
2 answers:
ANTONII [103]2 years ago
5 0

Answer:

  • x - 4

Step-by-step explanation:

  • V(x) = x³ - 8x² + 19x - 12

<u>The two of the dimensions given</u>

  • (x - 1) and (x - 3)

<u>and the third one is</u>

  • x + a

<u>Multiply the three dimensions to get the volume:</u>

  • (x - 1)(x - 3)(x + a) =
  • (x² - 4x + 3)(x + a) =
  • x³ - 4x² + 3x + ax² - 4ax + 3a =
  • x³ - (4 - a)x² + (3 - 4a)x + 3a

Comparing with the given function, we get a = - 4

<u>So the missing dimension is:</u>

  • x - 4
Arturiano [62]2 years ago
5 0

Answer:

x - 4

Step-by-step explanation:

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</span><span>  8x⁴ + 2x³ - 7x² + 3x - 2     | 4x² - x + 1
                                           ---------------------
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----------------------------------
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3) Second term of the quotient:
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<span>  8x⁴ + 2x³ - 7x² + 3x - 2     | 4x² - x + 1
                                           ---------------------
 -8x⁴ + 2x³ - 2x²                   2x² + x
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          -4x³ +  x² -   x
        ----------------------------
                  - 8x² + 2x - 2

4) third term of the quotient:
</span>
<span>  8x⁴ + 2x³ - 7x² + 3x - 2     | 4x² - x + 1
                                           ---------------------
 -8x⁴ + 2x³ - 2x²                   2x² + x - 2
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                    8x²  - 2x + 2
                 -------------------------
                             0

5) Conclusion: since the remainder is 0, the division is exact and the quotient is </span>2x² + x - 2

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