Question

4. Find the quadratic polynomial, the sum and product of whose zeroes ar
given as below:
(1) 2,5

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Answer 1

here,

sum of the zeroes X and Y=2

multiple of the zeroes X and Y=5

F(x)=k[x²+(X+Y)x+(XY)]

=k[x²+2x+5]

=kx²+2kx+5k

then the answer is

p(x)=k[x²+2x+5]