i jack-12 23+ 42 c ² - 368 +9 solu
find the square root of the polynomial by division method
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Answer:
Correct option is
A
∣x
2
−2x+3∣
We find the square root of the given polynomial x
4
−4x
3
+10x
2
−12x+9 by following the steps shown below:
Step 1. Compute the square root of the leading term (x
4
) and put it, (x
2
), in the two places shown.
Step 2. Subtract and bring down the next two terms.
Step 3. Double the currently displayed quotient (x
2
) to 2x
2
. Then add a new term, x, to the quotient such that the result will remove the first term, (−4x
3
), in the current partial remainder.
Step 4. Repeat steps 2 and 3 until done.
The division is as follows:
Hence, the square root of x
4
−4x
3
+10x
2
−12x+9 is x
2
−2x+3.
Step-by-step explanation:
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