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What is the leading coefficient of the polynomial f, of, xf(x) defined below?f, of, x, equals, 6, x, plus, 7, x, cubed, plus, 4, x, squared, plus, 6, minus, x, to the power 4f(x)=6x+7x 3 +4x 2 +6−x 4

Question

What is the leading coefficient of the polynomial f, of, xf(x) defined below?f, of, x, equals, 6, x, plus, 7, x, cubed, plus, 4, x, squared, plus, 6, minus, x, to the power 4f(x)=6x+7x 3 +4x 2 +6−x 4

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Solution

The leading coefficient of the polynomial is the coefficient of the term with the highest degree. In the polynomial f(x) = 6x + 7x^3 + 4x^2 + 6 - x^4, the term with the highest degree is -x^4. Therefore, the leading coefficient of the polynomial is -1.

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For the function f, of, x, equals, 6, start root, start index, 7, end index, x, end rootf(x)=6 7 x​ , find f, to the power minus 1 , left bracket, x, right bracketf −1 (x).

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