Answer:
The standard form degree of F(x) is 3 and the constant term is -18.
Explanation:
F(x)=(3x+1)(x+2)(x-3) standard form degree and constant term
To determine the degree and constant term of the polynomial function F(x) = (3x + 1)(x + 2)(x - 3), we first need to expand the expression.
F(x) = (3x + 1)(x + 2)(x - 3)
= (3x^2 + 7x - 2)(x - 3)
= 3x^3 - 2x^2 - 9x^2 + 7x - 6x - 18
= 3x^3 - 11x^2 + x - 18
The degree of a polynomial is the highest power of x in the expression. In this case, the highest power of x is 3, so the degree of F(x) is 3.
The constant term is the term that does not have x in it. In this case, the constant term is -18.
Therefore, the standard form degree of F(x) is 3 and the constant term is -18.