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Lynna [10]
4 years ago
10

Find the quotient and remainder when p (x) divides with g (x) question (i) P (x) = x raise to 4 - 3 x square +4x + 5, g (x) = x

square +5 ​
Mathematics
1 answer:
Morgarella [4.7K]4 years ago
5 0

Answer:  x^2-8+\dfrac{4x+5}{x^4-3x^2+4x+5}

<u>Step-by-step explanation:</u>

P(x) = x⁴ - 3x² + 4x + 5

g(x) = x² + 5

         <u>_x²_- 8                           </u>

x² + 5) x⁴ + 0x³ - 3x² + 4x + 5

        -<u>(x⁴ + 0x³ + 5x²) </u>  ↓     ↓  

                         -8x² + 4x  + 5

                       -<u>(-8x² + 0x - 40)</u>

                                    4x + 45

\dfrac{x^4-3x^2+4x+5}{x^2+5}=\large\boxed{x^2-8+\dfrac{4x+5}{x^4-3x^2+4x+5}}

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Answer:

Read the example letter below, and answer the question that follows.

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3 years ago
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Notice that we skipped 0 × 12 in our list of multiples. That's because 0 × 6 is 0 and our least common multiple can not be 0.

When listing the multiples of 18, it's a good idea to keep an eye on the list of multiples for 12 so that we will notice when we find a least common multiple.

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