Question

Find the zero of the polynomial x power 2 - 7x +10 and verify the relationship between the zero and its coefficient

Answer 1

Step-by-step explanation:

here,a=1,b=-7,c=10

let,x^2-7x+10=0

=x^2-2x-5x+10

=x(x-2)-5(x-2)

=x-5=0or x-2=0

=x=5 or y=2

let x and y be the zeroes

Verification:-

sum:x+y=-b/a

=5+2=-(-7)/1

=7=7

LHS=RHS

product:xy=c/a

=5*2=10/1

=10=10

LHS=RHS

hence, verified