Question

find the zeroes of the quadratic polynomial x²+7x+12 and verify the relationship between the zeroes and coefficient​

Answer 1

x²+7x+12

x^2 + 3x + 4x + 12

x (x+3)+4 ( x + 3 )

(x + 4) (x + 3)

Answer 2

Answer:

$= {x}^{2} + 7x + 12 \\ = {x}^{2} + 4x + 3x + 12 \\ = x(x + 4) + 3(x + 4) \\ =(x + 4)(x + 3)$

$x = - 4 \\ x = - 3$