Answer:
m = - 3, n = - 6
Explanation:
Expand and compare coefficients of like terms, that is
(x + m)² + n
= x² + 2mx + m² + n
Compare to x² - 6x + 3
comparing coefficients of x- term
2m = - 6 ( divide both sides by 2 )
m = - 3
Comparing constant terms
m² + n = 3 , that is
(- 3)² + n = 3
9 + n = 3 ( subtract 9 from both sides )
n = - 6