Find all the integral zeros of the ...
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Find all the integral zeros of the polynomials PV) y-2y+y+4.

11th - 12th Class
Maths
Solution
133
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( y^{3}-2 y^{2}+y+4=0 ) Hit and [ begin{array}{c} n d text { trial } g=1 mid y=2 1-2+1+4 x end{array}left|begin{array}{c} 8-4+2+4 x end{array}right| begin{array}{c} y=-1 -1-2-1+4 =0 end{array} ] lena ( (2 y+1) ) is a soluhion, dividing [ begin{array}{l} begin{aligned} y+1) sqrt{y^{3}-2 y^{2}+y+4} &left(y^{2}-3 y+4right)-(y+1)=P(y) frac{-y^{3} pm y^{2}}{-3 y^{2}+y} & y^{2} end{aligned} end{array} ] alcoays pesitive ( frac{-3 y^{2}-3 y}{4 y+4} ) [ frac{-4 y+4}{00} ] ( therefore ) only one soluhion ( [y=-1] )
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