Find the values of a and b if the following polynomials are perfect squares.
4x4–12 x3 + 37x2 + ax + b
Step 1: Find the algebraic expression whose square gives the first term.
Step 2: Add the divisor and quotient .To this sum add a suitable expression and add the same expression in the quotient such that the product gives the next term.
Step 3: Continue the process until all the terms are divided.
Since it is a perfect square the remainder is 0
a = –42, b = 49
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