Answer :
Factor when dividing the function the remainder is zero. The factorized form of the polynomial 64-x¹⁵ is (4-x⁵)(16+4x⁵+x¹⁰).
What is a factor?
A factor of a function is a factor which when multiplied by another the result is the function itself.
In order to find the factors of the given polynomial, we will rewrite the equation,
[tex]64-x^{15}\\\\4^3-(x^5)^3[/tex]
Now, we will use the algebraic property to solve the problem,
[tex]4^3-(x^5)^3\\\\=(4-x^5)(4^2 + 4x^5+ x^{10})\\\\=(4-x^5)(16 + 4x^5+ x^{10})[/tex]
Hence, the factorized form of the polynomial 64-x¹⁵ is (4-x⁵)(16+4x⁵+x¹⁰).
Learn more about Factors:
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