[[1]] is the factor of x2+32x+4.

When factoring a quadratic expression of the form ax2+bx+c using the middle term split method, we must split the middle term so that the sum equals b and the product equals ac. The given quadratic expression is x2+32x+4.Now, we need to split the middle term in such a way that the sum is equal to 32 and the product is equal to 4. The proper splitting of the middle term is shown below.32=22+2Now, the factor of the given quadratic expression x2+32x+4⇒x2+(22+2)x+4⇒x2+22 x+2 x+4⇒x(x+22)+2–√(x+22)⇒(x+2)(x+22)

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[[1]] is the factor of $x^{2} + 3 \sqrt{2} x + 4$ .

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When factoring a quadratic expression of the form ax2+bx+c using the middle term split method, we must split the middle term so that the sum equals b and the product equals ac. The given quadratic expression is x2+3