Question

The quadrant polynomial the sum and producet zero -1 , 20 respectly .also find zero of the polynomial

Answer 1

Answer:

let the zeroes are a and b

ATQ, a+b=-1

and ab=20

the required polynomial is

k[x²-(a+b)x+(ab)]

k[x²-(-1)x+(20)]

k[x²+1x+20]

k[x²+x+20]

so the polynomial is x²+x+20

now, in x²+x+20, a=1; b=1 ; c=20

D=b²-4ac=1²-4*20=1-80=-79

here, D<0. So the polynomial has no real roots