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Sindrei [870]
1 year ago
8

Factor the polynomial expression 3x² + 2.

Mathematics
1 answer:
mel-nik [20]1 year ago
5 0

Answer:

\boxed{\left(x+i\sqrt{\frac{2}{3}}i \right)\left(x-i\sqrt{\frac{2}{3}}i \right)}

Step-by-step explanation:

Setting the expression equal to zero to find the roots,

3x^2 +2=0\\\\3x^2 =-2\\\\x^2 =-\frac{2}{3}\\\\x=\pm i\sqrt{\frac{2}{3}}

This means that

3x^2 +2=\boxed{\left(x+i\sqrt{\frac{2}{3}}i \right)\left(x-i\sqrt{\frac{2}{3}}i \right)}

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