Question

if x+a is a factor of the polynomial 2x^2+3ax+1 find value of a

Answer 1

hey friend.....
if x+a is a factor so x=-a
so by putting it in equation.....
2(-a)^2 + 3(-a)(a) +1=0
so by factorization it u will get ur answer

Answer 2

Answer:

$\red { Value \: of \: a } \green { = ±\sqrt{1}}$

Step-by-step explanation:

$Let \: p(x) = 2x^{2} + 3ax + 1$

$Given \: ( x + a ) \:is \: a \: factor \: of \:p(x)$

$p(-a) = 0$

$\implies 2(-a)^{2} + 3a(-a) + 1 = 0$

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

$\implies -a^{2} + 1 = 0$

$\implies -a^{2} = -1$

$\implies a^{2} = 1$

$\implies a = ±\sqrt{1}$

Therefore.,

$\red { Value \: of \: a } \green { = ±\sqrt{1}}$

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