Question

Find the zeros of the quadratic polynomial x2+7x +10 and verify the relationship between the zeros and the coefficients. ​

Answer 1

Zeros of the polynomial are -5, -2

Step-by-step explanation:

In order to know the zeros of the polynomial, we need to factorize the equation because zeros of the polynomial are those values where f(x) = 0

x2 + 5x +2x +10 = 0

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

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

x = -5, -2

In order to know the relation between the zeroes and the coefficients, we need to verify two things

1. Sum of zeroes = - coefficient of x/ coefficient of x2

 -2+-(5) = - 7/1

  -7 = -7  

2. Product of zeroes = constant / coefficient of x2

   -2(-5) = 10/ 1

   10 = 10

Thus, relation between zeroes and coefficients is verified

Answer 2

your answer in the attachment :)