Question

find the number of polynomials having zeros as -2 and 5​

Answer 1

Answer :- infinite polynomial .

Explanation :-

sum of zeroes = -2+5 = 3

product of zeroes = -2×5 = -10

p(x) = K { x² -( sum of zeroes ) + product of zeroes ) }

therefore ,

p(x) = k { x² -3x -10 )

Where k may be any natural number.

Answer 2

Answer:

given zeroes

-2,5

sum of zeroes is (a+b)=-2+5

=+3= -b/a

product of zeroes =-2×5

=-10=c/a

quadratic polynomial formula=k[x^2-(a+b)x+ab]

K(x^2-(3)x+10)

if K=1

then,

=x^2-3x+10

only one and one polynomial having zeroes -2and5