Factor 3x^2+7/4x+1/8

$3 x^{2} + \frac{7}{4} x + \frac{1}{8}$

Factor $\frac{1}{8}$ out of each term.

$\frac{1}{8} (24 x^{2} + 14 x + 1)$

Factor.

Factor by grouping.

For a polynomial of the form $a x^{2} + b x + c$ , rewrite the middle term as a sum of two terms whose product is $a \cdot c = 24 \cdot 1 = 24$ and whose sum is $b = 14$ .

Factor $14$ out of $14 x$ .

$\frac{1}{8} \cdot (24 x^{2} + 14 (x) + 1)$

Rewrite $14$ as $2$ plus $12$

$\frac{1}{8} \cdot (24 x^{2} + (2 + 12) x + 1)$

Apply the distributive property.

$\frac{1}{8} \cdot (24 x^{2} + 2 x + 12 x + 1)$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$\frac{1}{8} \cdot ((24 x^{2} + 2 x) + 12 x + 1)$

Factor out the greatest common factor (GCF) from each group.

$\frac{1}{8} \cdot (2 x (12 x + 1) + 1 (12 x + 1))$

Factor the polynomial by factoring out the greatest common factor, $12 x + 1$ .

$\frac{1}{8} \cdot ((12 x + 1) (2 x + 1))$

Remove unnecessary parentheses.

$\frac{1}{8} \cdot (12 x + 1) (2 x + 1)$

Factor 3x^2+7/4x+1/8

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