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Factor out the polynomial 35x^7-49x^6+14x^5-63x^3

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dudzmarg | Student, College Freshman | eNotes Newbie

Posted May 24, 2012 at 7:18 AM via web

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Factor out the polynomial 35x^7-49x^6+14x^5-63x^3

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted May 24, 2012 at 8:54 AM (Answer #1)

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The expression `35x^7-49x^6+14x^5-63x^3` has to be factorized.

It can be seen that `7x^3` is common to all the terms of the expression.

`35x^7 - 49x^6 + 14x^5 - 63x^3`

=> `7*x^3*(5x^4 - 7x^3 + 2x^2 - 9)`

It is not possible to factorize the result any further.

The expression `35x^7-49x^6+14x^5-63x^3 = 7*x^3*(5x^4 - 7x^3 + 2x^2 - 9)`

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