Q: Factor 15X to the fourth power plus 10X to the third power?

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(x2 - x + 1)(x2 + x + 1)

7/12

You can reduce the number by known factors to make it more manageable. Plus there are tricks for different numbers: If the number is even, then 2 is a factor. If the digits add up to a multiple of 3 then 3 is a factor. If the ones digit is a 5 or 0 (with a tens digit greater than or equal to 1), then 5 is a factor. If the ones digit is a 0 then 10 is a factor. If the digits have the property that the first minus the second, plus the third, minus the fourth, (alternating signs) equals 0, then 11 is a factor. There are other tricks but these factors would be the most common.

(x^2 - 2x + 2)(x^2 + 2x + 2)

(x2 + 3x + 5)(x2 - 3x + 4)

Related questions

The GCF is 15x^2y^2

No.

6x^2(2x + 5)

(x2 - x + 1)(x2 + x + 1)

x4 + 2x3 - 9x2 + 18x = x(x3 + 2x2 - 9x + 18) which I do not think can be factorised further.

3x3 + 192 3(x3 + 64) ========

one sixteenth

(x + 1)(x^2 - x + 1)

(x^2 - 3x + 5)(x^2 + 3x + 5)

11y(y - 1)(2y^2 + 2y - 1)

1/4 plus 1/4 plus 1/3 is = 0.833333

(5x + y)(25x^2 - 5xy + y^2)