Question

Find the remainder, when x² + 4x³ - 5x² - 6x + 7 is divided by x-3​

Answer 1

Answer:

Now, by remainder theorem, we have,

p(x) = x⁴ + 5x³ – 3x² + 4x + 3

p(-2) = (-2)⁴ + 5(-2)³ – 3(-2)² + 4(-2) + 3

p(-2) = 16 + 5(-8) – 3(4) + 4(-2) + 3

p(-2) = 16 -40 –12 -8 + 3

p(-2) = 19 – 60

p(-2) = –41.

Hence, remainder = –41

Answer 2

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Refer to the attachment

Step-by-step explanation:

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