x power 4 minus 3 x cube minus x square + 9 x minus 6
what are the factors
Answers
Answered by
1
x^4 - 3x^3 - x^2 + 9x - 6
=> x^4 - x^3 - 2x^3 + 2x^2 - 3x^2 + 3x + 6x - 6
=> x^3 ( x - 1) - 2x^2 ( x - 1) - 3x(x - 1) + 6(x-1)
=> (x - 1) ( x^3 - 2x^2 - 3x +6)
=> ( x - 1) [ x^2 ( x - 2) - 3( x-2)]
=> (x-1) (x-2) (x^2 - 3)
=> x^4 - x^3 - 2x^3 + 2x^2 - 3x^2 + 3x + 6x - 6
=> x^3 ( x - 1) - 2x^2 ( x - 1) - 3x(x - 1) + 6(x-1)
=> (x - 1) ( x^3 - 2x^2 - 3x +6)
=> ( x - 1) [ x^2 ( x - 2) - 3( x-2)]
=> (x-1) (x-2) (x^2 - 3)
Answered by
2
x⁴ - 3x³ - x² + 9x - 6
=> x⁴ - x³ - 2x³ + 2x² - 3x² + 3x + 6x - 6
=> x³ ( x - 1) - 2x^2 ( x - 1) - 3x(x - 1) + 6(x-1)
=> (x - 1) ( x³ - 2x² - 3x +6)
=> ( x - 1) [ x² ( x - 2) - 3( x-2)]
=> (x-1) (x-2) (x^2 - 3)
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