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3 years ago

Choose one of the factors of x3 − 1331.

Mathematics

2 answers:

Dmitry [639]3 years ago

3 0

Answer A) x-11
Hope this helps!

ad-work [718]3 years ago

3 0

Answer:

The correct option is: $x-11$

Step-by-step explanation:

The given expression is: $x^3 -1331$

If we factor out 1331, then we will get: $11\times 11\times 11$ which is $(11)^3$

So, the expression becomes: $x^3- 11^3$

Now, the formula we need to apply here: $a^3-b^3=(a-b)(a^2+ab+b^2)$

Applying the above formula......

$x^3-11^3\\ \\ =(x-11)(x^2+11x+11^2)\\ \\ =(x-11)(x^2+11x+121)$

So, one of the factors is $x-11$

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