Question

If the zeroes of the polynomial x2 -5x -6 are α and β find the value of (1)
α + β − 2αβ

Answer 1

Answer:

Step-by-step explanation:

$\large\tt x^2 -5x-6$

$\large\tt =x^2+x -6x-6$

$\large\tt =x(x+1)-6(x+1)$

$\large\tt =(x-6)(x+1)$

$\large\tt x=6\:\:or\:\:x=-1$

$\large\tt α=6\:\:and\:\: β=-1$

$\large\tt α + β − 2αβ$

$\large\tt =6-1+12$

$\large\tt =5-12$

$\large \boxed{\sf =7}$