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