Question

Find the remainder, when the polynomial 2x⁴ + x³ + 4x² - 3x - 2 is divided by x−3 with long division​

Answer 1

Answer:

Remainder = 214

Step-by-step explanation:

We can find by using the remainder theorem

Zero of the divisor = (x-3) = 0

x = 3

Given that

f(x) = 2x⁴ + x³ + 4x² - 3x - 2

f(3) = 2(3)⁴ + (3)³ + 4(3)² - 3(3) - 2

f(3) = 162 + 27 + 36 - 9 - 2

f(3) = 214

THEREFORE, the remainder = 214

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Answer 2

Step-by-step explanation:

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