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In Mathematics / High School | 2025-08-20

What are the roots of the polynomial equation $x^4+x^3=4 x^2+4 x$?

-2,-1,0,2
-2,0,1,2
-1,0
0,1

Asked by DVumb

Answer (3)

Δ = 19^2 - 4 5 12 => Δ = 121 => d e lt a ​ = 11; x1 = -0.8; x2 = -3; 5x^2+19x+12 = 5( x + 0.8)( x + 3) = ( 5x + 4)( x + 3);

Answered by crisforp | 2024-06-10

(
x −
3 )( 5x −
4 ) ;

Answered by anaiscineus | 2024-06-12

The polynomial 5 x 2 + 19 x + 12 factors to ( 5 x + 4 ) ( x + 3 ) . This was achieved by finding two numbers that multiply to 60 and add to 19, which were 15 and 4. By grouping the terms and factoring, we reached the final result.
;

Answered by Anonymous | 2024-12-17

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