Question

7. Find the factors
of x6 – 28x3 + 27.​

Answer 1

The factors of $x^{6}-28x^{3}+27$ are $(x^{3}-1)(x^{3}-27)$.

Step-by-step explanation:

The expression is:

$x^{6}-28x^{3}+27$

Factorize the expression as follows:

$x^{6}-28x^{3}+27=x^{6}-x^{3}-27x^{3}+27$

                       $=x^{3}(x^{3}-1)-27(x^{3}-1)\\=(x^{3}-1)(x^{3}-27)$

Thus, the factors of $x^{6}-28x^{3}+27$ are $(x^{3}-1)(x^{3}-27)$.

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