SOLUTION: Find all zeros of the function and write the polynomial as a product of linear factors. f(x) = 3x^4 + 4x^3 + 13x^2 + 16x + 4 a. f(x) = (3x - 1)(x - 1)(x + 2)(x

SOLUTION: Find all zeros of the function and write the polynomial as a product of linear factors. f(x) = 3x^4 + 4x^3 + 13x^2 + 16x + 4 a. f(x) = (3x - 1)(x - 1)(x + 2)(x - 2)

Question 1061073: Find all zeros of the function and write the polynomial as a product of linear factors.
f(x) = 3x^4 + 4x^3 + 13x^2 + 16x + 4
a. f(x) = (3x - 1)(x - 1)(x + 2)(x - 2)
b. f(x) = (3x + 1)(x + 1)(x + 2i)(x - 2i)
c. f(x) = (3x - 1)(x - 1)(x + 2i)(x - 2i)
d. f(x) = (3x + 1)(x + 1)(x + 2)(x - 2)

Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
.
Good start is to make a plot.

Plot y =

When you will get an idea from the plot, destroy it and solve the problem without it.

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