Write the following polynomial in coefficient form.
i. x4 + 16
ii. m5 + 2m2 + 3m + 15
i. In the coefficient form of the polynomial, the coefficients of the terms are written from highest power of the variable to lowest power.
⟹ x4 + 16 = 1.x4 + 0.x3 + 0.x2 + 0.x + 16
So the coefficient form is as follows:
(1, 0, 0, 0, 16).
ii. In the coefficient form of the polynomial, the coefficients of the terms are written from highest power of the variable to lowest power.
⟹ m5 + 2m2 + 3m + 15 = 1.m5 + 0.m4 +0.m3 + 2.m2 + 3.m + 15
So the coefficient form is as follows:
(1, 0, 0, 2, 3, 15).
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