Question

find the zeros and verify the relation between zeros and coefficient of x square + 11 x + 30​

Answer 1

Answer:

Answer: Zeroes of polynomial are -5 and -6.

Step-by-step explanation:

Since we have given that

We first find the roots of the above quadratic equation:

Let α = -5 and β = -6

Now, we will verify the relationship between zeroes and coefficient of polynomial:

Similarly,

Hence, verified.

Answer 2

Answer:

zeroes are -5 and -6

Step-by-step explanation:

x² + 11x + 30

x² + (6+5)x + 30

x² + 6x + 5x + 30

x(x + 6).+5(x + 6)

(x + 5)(x + 6)

x + 5 = 0 , x + 6 = 0

x = -5 , x = -6

verification

sum of zeroes = -b/a

(-5) + (-6) = -11/1

-11 = -11

product of zeroes = c/a

(-5) × (-6) = 30/1

30 = 30