find the zero of polynomial 2x³ +3x²-11x-6
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2(2)^3+3(2)^2-11(2)-6
2(8)+3(4)-22-6
16+12-28
=0
2(2)^3+3(2)^2-11(2)-6
2(8)+3(4)-22-6
16+12-28
=0
niveshmahajan69:
thx
Answered by
3
Hi !
2x³ +3x²-11x-6
2x³ - 4x² + 7x² - 14x + 3x - 6
2x²(x -2) + 7x(x -2) + 3(x -2)
[2x² + 7x +3] (x -2)
[ 2x² + 6x + x + 3 ] (x -2)
[2x(x +3) + 1(x +3) ] (x -2)
(2x +1) (x +3) (x -2)
Therefore ,
Zeros of the polynomial are , -1/2 , 2 and -3
2x³ +3x²-11x-6
2x³ - 4x² + 7x² - 14x + 3x - 6
2x²(x -2) + 7x(x -2) + 3(x -2)
[2x² + 7x +3] (x -2)
[ 2x² + 6x + x + 3 ] (x -2)
[2x(x +3) + 1(x +3) ] (x -2)
(2x +1) (x +3) (x -2)
Therefore ,
Zeros of the polynomial are , -1/2 , 2 and -3
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