Q. 2 D5.0( 1 Vote )

# Find the values of a and b if the following polynomials are perfect squares.a x4–bx3 + 40 x2 + 24x + 36

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.

We rearrange the equation in the increasing order of power of x.

The polynomial becomes 36 + 24x + 40x2–bx3 + ax4

Since it is a perfect square the remainder is 0

a = 9, b = –12

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