Question

Find the values of a and b if the following polynomials are perfect square ​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

firstly, we find the square root of the given polynomial 4x4−12x3+37x2+ax+b by following the steps shown below:

Step 1. Compute the square root of the leading term (4x4) and put it, (2x2), in the two  places shown.

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

Step 3. Double the currently displayed quotient (2x2) to 4x2. Then add a new term, x,  to the quotient such that the result will remove the first term, (−12x3), in the  current partial remainder.

Step 4. Repeat steps 2 and 3 until done.

The division is as follows:

Hence, from the above division, we conclude that a=−42 and b=49