Question

if both x+2 and x+1 are the factors of ax^2 +2x+b .Find the value of a-b​

Answer 1

from both eqn you can solve using simultaneous equation

Answer 2

Answer:

GIVEN QUADRATIC EQUATION -

ax² + 2x + b =0

GIVEN FACTORS ARE ( x +2 ) ( x + 1 ) i.e. x = -2 and x = -1 WILL SATISFY THE EQUATION.

SO -

(1) PUT X = -2 ,

4a - 4 + b = 0

4a + b = 4 ........(1)

(2) PUT X = -1

a -2 + b =0

a + b = 2 ........(2)

BY EQUATION (1) AND (2) -

a = ⅔ and b = 4/3

SO THE VALUE IS -

a - b = - ⅔

HERE IS YOUR ANSWER...