A fifth-degree polynomial with leading coefficient 4 is \(P(x) =4x^5 + 3x + 1\)
The given parameters are:
\(n = 5\) --- the degree of the polynomial
\(a = 4\) --- the leading coefficient
The form of a polynomial is:
\(P(x) =ax^n + bx^{n-1} +.....+d\)
Substitute values for (a) and (n)
\(P(x) =4x^5 + bx^4 +.....+d\)
By comparing the above polynomial to the options, the required polynomial is:
\(P(x) =4x^5 + 3x + 1\)
This is so, because the leading coefficient is 4, and the degree is 5
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