Question

If x - 2 is the factor of x^2 + 2x +a , find the value of a

-16

-8

16

8

​

Answer 1

Answer:

$x - 2 = 0$

$x = 2$

${x}^{2} + 2x + a \: = 0$

${ (2)}^{2} + 2(2) + a = 0$

$4 + 4 + a = 0$

$a = - 8$

The value of a is -8.