Problem

Write the polynombal in standard form. Then find its degree and the leading coeticient. \[ 4 x^{6}-w^{6}+0.7 w^{3}-10.1 \] Write the polynomal in standard form. Select the correct choice below and, if necessary, fa in the answer box to cormplete your choice. A. The standard form of the poryomiatis - (Use integers or decimale for any numbers in the expression) 14. The polynomial is alteady in slandard form.

Solution

Step 1 :The given polynomial is \(4 x^{6}-w^{6}+0.7 w^{3}-10.1\).

Step 2 :The polynomial is already in standard form.

Step 3 :The degree of a polynomial is the highest power of the variable. In this case, the highest power is 6, so the degree of the polynomial is \(\boxed{6}\).

Step 4 :The leading coefficient of a polynomial is the coefficient of the term with the highest degree. In this case, the leading coefficient is \(\boxed{4}\).

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