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
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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