Question

find a quadratic polynomial whose sum of the zero is -3 and product of the zero is -10 respectively​

Answer 1

Answer:

m+n=-3= -b/a

m*n=-10=c/a

from above equations

m-n=7

m=2

n=-5

therefore the quadratic polynomial is

x^2 +3x-10

Answer 2

Answer:

zeros are -3 and -10

sum of zeros= –3 + – 10= –13(1equation)

product of zeros=–3*–10=30(2equation)

general equation=ax square+bx+c =0

ax square/a+bx/a+c/a=0

x square+b/a x+c/a=0

sum of zeros=–b/a(3equation)

product of zeros=c/a(4equation)

from 1 and 3 equation

–b/a=-13

b/a=13

from 2equation and 4equation

c/a=30

x square+(13)x+30=0

ans=x square+13x+30=0