Question

If x+a a factor of tye polynomial 2x2+3ax+1,find the value of a

Answer 1

Here is your answer
If x +a is a factor then x =-a
put it in equation We get

$2 \times 2 + 3(-a)a + 1 = 0 \\ 4 - 3a {}^{2} + 1 = 0 \\ -3a {}^{2} = - 5 \\ a = \sqrt{ 5 \div 3}$
Hope it helps