What is factor 2x^5-33x^4+96x^3+304x^2-326x+77 ?

The solution to factor 2x^5-33x^4+96x^3+304x^2-326x+77 is (2x-1)(x-7)(x-11)(x^2+2x-1)

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factor 2x^5-33x^4+96x^3+304x^2-326x+77

factor

2 x^{5} - 33 x^{4} + 96 x^{3} + 304 x^{2} - 326 x + 77

(2 x - 1) (x - 7) (x - 11) (x^{2} + 2 x - 1)

Solution steps

2 x^{5} - 33 x^{4} + 96 x^{3} + 304 x^{2} - 326 x + 77

Use the rational root theorem

= (2 x - 1) \frac{2 x ^{5} - 33 x ^{4} + 96 x ^{3} + 304 x ^{2} - 326 x + 77}{2 x - 1}

\frac{2 x ^{5} - 33 x ^{4} + 96 x ^{3} + 304 x ^{2} - 326 x + 77}{2 x - 1} = x^{4} - 16 x^{3} + 40 x^{2} + 172 x - 77

= (2 x - 1) (x^{4} - 16 x^{3} + 40 x^{2} + 172 x - 77)

Factor

x^{4} - 16 x^{3} + 40 x^{2} + 172 x - 77 : (x - 7) (x - 11) (x^{2} + 2 x - 1)

= (2 x - 1) (x - 7) (x - 11) (x^{2} + 2 x - 1)

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

3 x^{2} + 28 x + 49

20 \times 8

d - \frac{c}{9}

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

What is factor 2x^5-33x^4+96x^3+304x^2-326x+77 ?
The solution to factor 2x^5-33x^4+96x^3+304x^2-326x+77 is (2x-1)(x-7)(x-11)(x^2+2x-1)