Question

if g(×) =×+1 is factor of p(×)=ײ+@2+2 then tind the value of a. ​

Answer 1

Answer:

-3/2

Step-by-step explanation:

given : if g(×) =×+1 is factor of p(×)=ײ+@2+2 then tind the value of a.

solving : g(x) = x+1 =0

$g(x) = x + 1 = 0$

$x + 1 = 0 \\ x = - 1 \\ put \: the \: value \: of \: x \: in \: the \: \\ equation \: given \: \\ p(x) = {x}^{2} + 2a + 2 \\ p( - 1) = { (- 1)}^{2} + 2a + 2$

$= 1 + 2a + 2 = 0 \\ 2a + 3 = 0 \\ 2a = - 3 \\ a = \frac{ - 3}{2}$

therefore the value of a in which g(×) =×+1 is factor of p(×)=ײ+@2+2 is -3/2