Question

Factor the following polynomial completely.

1,280x^11 - 405x^7

Answer 1

5x^7(4x-a 3)(4x+3)(16x^2+9)

Explanation:

Answer 2

`5x^7(16x^2+9)(16x^2-9)`

Explanation:

we have

`1,280x^(11)-405x^(7)`

we know that

`1,280=(2^8)(5)`

`405=(3^4)(5)`

substitute

`(2^8)(5)x^(11)-(3^4)(5)x^(7)`

Factor 5x^7

`5x^7[(2^8)x^(4)-(3^4)]`

`5x^7[256x^(4)-81]`

Applying difference of square

`[256x^(4)-81]=(16x^2+9)(16x^2-9)`

substitute

`5x^7(16x^2+9)(16x^2-9)`