Question

For each polynomial function, rewrite the polynomial in standard form. then state its degree and constant term.

a. f(x)=(3x 1)(x 2)(x−3) the standard form is f(x)= . the degree is . the constant term is .
b. g(x)=−2(3x 1)(x 2)(x−3) the standard form is g(x)= . the degree is . the constant term is .

Answer 1

The polynomial functions in standard form with their degree and constant term.

Step-by-step explanation:

A polynomial function is a mathematical function that is defined by a polynomial expression. A polynomial is a sum of terms, where each term consists of a constant multiplied by a variable raised to a non-negative integer exponent.

For polynomial function f(x)=(3x+1)(x+2)(x-3), the standard form is f(x) = 3x^3 -10x^2-11x-6. The degree of the function is 3, and the constant term is -6.

For polynomial function g(x)=-2(3x+1)(x+2)(x-3), the standard form is g(x) = -6x^3 + 20x^2+22x+12. The degree of the function is 3, and the constant term is 12.