Question

find the square root of 9x⁴+12x³+28x²+16x+16​

Answer 1

Answer:

(i)  x4 −12x3 + 42x2 −36x + 9

Step 1 :

x4 has been decomposed into two equal parts x2 and x2.

Step 2 :

Multiplying the quotient (x2) by 2, so we get 2x2. Now bring down the next two terms -12x3 and 42x2.

By dividing -12x3 by 2x2, we get -6x.  By continuting in this way, we get the following steps.

Hence the square root of  x4 −12x3 + 42x2 −36x + 9 is x2 - 6x + 3