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ICE Princess25 [194]
3 years ago
13

4w + x + 2y - 3z= -16

Mathematics
1 answer:
barxatty [35]3 years ago
3 0
See photo. I hope it helps

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3 years ago
HELPP
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Answer:

\dfrac{4 \cdot x^4 - 5\cdot x^3 + 2 \cdot x^2 - x + 5}{x^2 + x + 1} = 2 \cdot x^2 - 9 \cdot x + 7 \  Remainder \ (x - 2)

Step-by-step explanation:

Part I

The problem can be expressed as follows;

The dividend is 4·x⁴ - 5·x³ + 2·x² - x + 5

The divisor is x² + x + 1

\dfrac{4 \cdot x^4 - 5\cdot x^3 + 2 \cdot x^2 - x + 5}{x^2 + x + 1}

Part II

The number of times x² goes into the larest term, 4·x⁴ = 4·x² times

2·x² - 9·x + 7

\dfrac{4 \cdot x^4 - 5\cdot x^3 + 2 \cdot x^2 - x + 5}{x^2 + x + 1}

<u>4·x⁴ + 4·x³ + 4·x²</u>

-9·x³ - 2·x² - x + 5

<u>-9·x³ - 9·x² - 9·x</u>

7·x² + 8·x + 5

<u>7·x² + 7·x + 7</u>

x - 2

Therefore, we have;

\dfrac{4 \cdot x^4 - 5\cdot x^3 + 2 \cdot x^2 - x + 5}{x^2 + x + 1} = 2 \cdot x^2 - 9 \cdot x + 7 \  Remainder \ (x - 2)

4 0
3 years ago
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