Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Hello,

saying that $x-\sqrt{a}$ is a factor means that $\sqrt{a}$ is a zero which means

$2(\sqrt{a})^4-2a^2(\sqrt{a})^2-3*\sqrt{a}+2a^3-2a^2+3=0\\\\ 2a^2-2a^3-3*\sqrt{a}+2a^3-2a^2+3=0\\\\3-3*\sqrt{a}=0\\\\\sqrt{a}=\dfrac{3}{3}=1\\\\ a = 1$

so the solution is a = 1

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