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\left(3x^{2}+5x+2\right)\left(x^{2}+1\right)
Use the distributive property to multiply x+1 by 3x+2 and combine like terms.
3x^{4}+5x^{2}+5x^{3}+5x+2
Use the distributive property to multiply 3x^{2}+5x+2 by x^{2}+1 and combine like terms.
\left(3x^{2}+5x+2\right)\left(x^{2}+1\right)
Use the distributive property to multiply x+1 by 3x+2 and combine like terms.
3x^{4}+5x^{2}+5x^{3}+5x+2
Use the distributive property to multiply 3x^{2}+5x+2 by x^{2}+1 and combine like terms.