MATH SOLVE

3 months ago

Q:
# Which polynomial function has a leading coefficient of 3 and roots –4, i, and 2, all with multiplicity 1?f(x) = 3(x + 4)(x – i)(x – 2)f(x) = (x – 3)(x + 4)(x – i)(x – 2)f(x) = (x – 3)(x + 4)(x – i)(x + i)(x – 2)f(x) = 3(x + 4)(x – i)(x + i)(x – 2)

Accepted Solution

A:

The polynomial function with leading coefficient of 3 and root -4, i, and 2 all with multiplicity of 1 is f(x) = 3(x+4)(x-i)(x+2)Polynomial functionThe Leading coefficients are the numbers written in front of the variable with the largest exponent. Roots of a polynomial refer to the values of a variable for which the given polynomial is equal to zero.The multiplicity is the number of times a given factor appears in the factored form of the equation of a polynomial.Therefore, the polynomial f(x) = 3(x+4)(x-i)(x+2) has a root -4 , 1 and -2. The leading coefficient is 3. The multiplicity is all one. learn more on polynomial here: