Question

Find the zeroes p(x)=4x square+24x+36 quadratic polynomial and verify the relationship between the zeroes and their coefficient

Answer 1

HOPE THIS HELPS YOU . follow me so that I I can help you with math . Mark as brainlist

Answer 2

Answer :

The equation is given to be : p(x) = 4x² + 24x + 36

To find the zeros of the given equation, Equate the given p(x) = 0

⇒ 4x² + 24x + 36 = 0

Dividing each term of the equation by 4

⇒ x² + 6x + 9 = 0

⇒ x² + 3x + 3x + 9 = 0

⇒ x( x + 3) + 3(x + 3) = 0

⇒ (x + 3)(x + 3) = 0

⇒ α = -3 and β = -3

Now, α + β = -3 - 3 = -6

-b/a = -24/4

⇒ -b/a = -6

So, α + β = -b/a

And, α·β = 9 = c/a

So, α·β = c/a