Question

Question #20

AA.FGR.5.11
Given the solutions -2, 3 and 5 with a multiplicity of 2, write an equation
the polynomial f(x) in standard form.
a. f(x) = (x+2)(x-3)(x+5)²
b. f(x) = x4-9x³ + 9x² - 85x-150
c. f(x)= x³-9x²-35x - 150
d. f(x) = 2(x+2)(x - 3)(x - 5)

Answer 1

The correct equation for the polynomial f(x) with given solutions and multiplicities is (x+2)(x-3)(x+5)².

Step-by-step explanation:

To write an equation for the polynomial f(x) in standard form, we first need to determine the factors of the polynomial using the given solutions and their multiplicities. The solutions for the polynomial are -2, 3, and 5, each with a multiplicity of 2. This means that each solution appears twice in the factored form of the polynomial. Therefore, the correct equation for the polynomial f(x) in standard form is:

f(x) = (x+2)(x-3)(x+5)²

Learn more about Writing polynomial equations with given solutions and multiplicities