Question

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Answer 1

Step-by-step explanation:

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Answer 2

Here p(x) = the dividend polynomial = 3x4 + 5x3 — 21x2 — 53x — 30

s(x) = the divisor polynomial = x2 — x — 6

Now,

∴ The quotient polynomial q(x) = 3x2 + 8x + 5 and the remainder polynomial r(x) = 0.

∴ The other polynomial is 3x2 + 8x + 5.