Question

find the zero of the quadratic polynomials x square plus 7x square plus 10 and verify the relationship between the zero and it's coffcient
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Answer 1

x²+7x+10=0

x²+2x+5x+10=0

x(x+2)+5(x+2)=0

(x+2)(x+5) = 0

x+2 = 0; x = -2

x+5 = 0 ;x=-5

Relationship between the zeroes and coefficients :

Sum of zeroes = -2+(-5) = -2-5 = -7/1 = -x coefficient /x2 coefficient

Product of zeroes = (-2)(-5) = 10/1 = constant/x? coefficient

Hope it helps