Question

. Prove that 2x4 – 6x3 + 3x2 + 3x – 2 is exactly divisible by x2 – 3x +2 i. By actual division ii. Without actual division

Answer 1

Step-by-step explanation:

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

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Answer 2

Step-by-step explanation:

refer to the above answer

$2 {y.}^{2}$