Question

Find the square root of 37x²-28x³+4x⁴+42x+9​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

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Correct option is

A

∣3x

2

−x+1∣

We find the square root of the given polynomial 9x

4

−6x

3

+7x

2

−2x+1 by following the steps shown below:

Step 1. Compute the square root of the leading term (9x

4

) and put it, (3x

2

), in the two places shown.

Step 2. Subtract and bring down the next two terms.

Step 3. Double the currently displayed quotient (3x

2

) to 6x

2

. Then add a new term, x, to the quotient such that the result will remove the first term, (−6x

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 9x

4

−6x

3

+7x

2

−2x+1 is 3x

2

−x+1.