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
Answer :
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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