SOLUTION: Write the polynomial as the product of linear factors. List all the zeroes of the function as well. f(x) = x4 − 81 Thank you!

Question 995742: Write the polynomial as the product of linear factors. List all the zeroes of the function as well.
f(x) = x4 − 81

Thank you!
Answer by ikleyn(52796) (Show Source): You can put this solution on YOUR website!
.
Write the polynomial as the product of linear factors. List all the zeroes of the function as well.
f(x) = x4 − 81
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f(x) = = =

is factorization of the polynomial into the product of linear factors.
Notice that the two last factors include complex numbers.

The roots of the polynomial are -3, 3, -3i and 3i.

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SOLUTION: Write the polynomial as the product of linear factors. List all the zeroes of the function as well. f(x) = x4 &#8722; 81 Thank you!

SOLUTION: Write the polynomial as the product of linear factors. List all the zeroes of the function as well. f(x) = x4 − 81 Thank you!