Question: Consider the following. f ( x ) = x 4 4 x 3 + 7 x 2 6 x 4 (a) Write the polynomial as

Consider the following.

f(x) =x44x3+7x26x4

(a) Write the polynomial as the product of factors that are irreducible over therationals. (Hint: One factor isx22x1.)

(b) Write the polynomial as the product of linear and quadratic factors that are irreducible over thereals.

(c) Write the polynomial in completely factored form.

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