What is factor x^4-4x^3+3x^2-16x^2+64x-48 ?

The solution to factor x^4-4x^3+3x^2-16x^2+64x-48 is (x-1)(x-3)(x+4)(x-4)

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factor x^4-4x^3+3x^2-16x^2+64x-48

factor

x^{4} - 4 x^{3} + 3 x^{2} - 16 x^{2} + 64 x - 48

(x - 1) (x - 3) (x + 4) (x - 4)

Solution steps

x^{4} - 4 x^{3} + 3 x^{2} - 16 x^{2} + 64 x - 48

Add similar elements:

3 x^{2} - 16 x^{2} = - 13 x^{2}

= x^{4} - 4 x^{3} - 13 x^{2} + 64 x - 48

Use the rational root theorem

= (x - 1) \frac{x ^{4} - 4 x ^{3} - 13 x ^{2} + 64 x - 48}{x - 1}

\frac{x ^{4} - 4 x ^{3} - 13 x ^{2} + 64 x - 48}{x - 1} = x^{3} - 3 x^{2} - 16 x + 48

= (x - 1) (x^{3} - 3 x^{2} - 16 x + 48)

Factor

x^{3} - 3 x^{2} - 16 x + 48 : (x - 3) (x + 4) (x - 4)

= (x - 1) (x - 3) (x + 4) (x - 4)

\frac{13 !}{( 13 - 4 ) !}

x - 2 \leq 5

x^{2} + 25

(\frac{20}{38})^{12}

x^{3} + 6 x^{2} + 8 x

What is factor x^4-4x^3+3x^2-16x^2+64x-48 ?
The solution to factor x^4-4x^3+3x^2-16x^2+64x-48 is (x-1)(x-3)(x+4)(x-4)