Rewrite the polynomial .22 – 52 + 6 as 2? + m2 + n2 +6, where m. n = 6 and m +n=-5. What are the values of m and n?

Answer:
m = -2 and n = -3
Explanation
Given the polynomial
x^2 - 5x + 6
Rewrite as x^2 +mx + nx + 6
x^2 - 2x - 3x + 6
Compare
mx = -2x
m = -2
Similarly;
nx = -3x
n = -3
Hence m = -2 and n = -3