# If '2' is the zero of both the polynomials 3x^2 +mx -14 and 2x^3 + nx^2 + x - 2, then the value of m - 2n is

179 views

recategorized

If '2' is the zero of both the polynomials 3x2 +mx -14 and 2x+ nx2 + x - 2, then the value of m - 2n is

by (45.9k points)

2 is zero of polynomial 3x2 + mx - 14

3 x 22 + 2m - 14 = 0

⇒ 2m = 14 - 12 = 2

m = 1

Also, 2 is zero of polynomial 2x3 + nx2 + x - 2

$\therefore$ 16 + 4n + 2 - 2 = 0

⇒ 4n = 16

n = -4

$\therefore$ m - 2n = 1 + 8 = 9