Question

If x − √a is a factor of 2x4 − 2a 2x 2 − 3x + 2a3 − 2a2 + 3 , find the value of a.

Answer 1

`\boxed{\sf \ \ \ a = 1 \ \ \ }`

Explanation:

Hello,

saying that
`x-√(a)` is a factor means that
`√(a)` is a zero which means

`2(√(a))^4-2a^2(√(a))^2-3*√(a)+2a^3-2a^2+3=0\\\\<=> 2a^2-2a^3-3*√(a)+2a^3-2a^2+3=0\\\\<=>3-3*√(a)=0\\\\<=>√(a)=(3)/(3)=1\\\\<=> a = 1`

so the solution is a = 1

Do not hesitate if you have any question