Question

find the zero of the polynomial x²+3x-10 and verify the relationships between the zeros and the coefficient.
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Answer 1

Answer:

x²-2x+5x-10

x(x-2) +5( x-2)

(x+5) (x-2)

so, zeros are:-

x+5=0

x=0-5= -5,

x-2=0

x=0+2=2

sum of zeros: -5+2= -3

coefficient of zeros -5×2=10

verify:- [a=1,b=3,c=-10]

sum of zeros:- -b/a = -3/1= -3

coefficient of zeros:- c/a= -10/1= -10

proved.