Without actual division, Prove that 2x4 - 6x3 + 3x2 + 3x - 2 is exactly divisible by x2 - 3x + 2.
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without actual division
steps
First find the sum of zeros of the equation which is divisible that is
x2-3x+2
x2-x-2x+2
x (x-1)-2 (x-1)=0
therefore x-1=0,x-2=0
" " x=1, x=2.
Now put the value of x =1 and x=2 one by one in the equation 2x4-6x3+3x2+3x-2 and by putting the value of x=1 and 2 and if the ans comes in 0 then we can prove that the equation is exactly divisible by x2-3x+2
namu990:
I hope these method will be useful and easy for u
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