Question

Find the sum of zeroes of the quadratic polynomial x + 7x + 1.​

Answer 1

Answer:

Step-by-step explanationX²+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

Answer 2

Step-by-step explanation:

x+7x+1=0 alpha= -b and beta= a. then -b = 7 and a= 1 -b/a = 7/1 = 1