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Coefficients

Write the fol...

Question

Write the following polynomial in coefficient form.

(i) x⁴ + 16 (ii) m⁵+ 2m² + 3m + 15

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Solution

(i)
$x^{4} + 16 = x^{4} + 0 x^{3} + 0 x^{2} + 0 x + 16$

Therefore, the given polynomial in coefficient form is (1, 0, 0, 0, 16).

(ii)
$m^{5} + 2 m^{2} + 3 m + 15 = m^{5} + 0 m^{4} + 0 m^{3} + 2 m^{2} + 3 m + 15$

Therefore, the given polynomial in coefficient form is (1, 0, 0, 2, 3, 15).

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