Example 2: Find the zeroes of the quadratic polynomial +7x+ 10, and ve

1.	Example 2: Find the zeroes of the quadratic polynomial +7x+ 10, and verify therelationship between the zeroes and the coefficients.
Answer» 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/x² coefficient

Example 2: Find the zeroes of the quadratic polynomial +7x+ 10, and verify therelationship between the zeroes and the coefficients.

Answer»

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/x² coefficient