Factor x^2+3/2x-1

$x^{2} + \frac{3}{2} x - 1$

Step 1

Factor $\frac{1}{2}$ out of each term.

$\frac{1}{2} (2 x^{2} + 3 x - 2)$

Step 2

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 $a \cdot c = 2 \cdot - 2 = - 4$ and whose sum is $b = 3$ .

Factor $3$ out of $3 x$ .

$\frac{1}{2} \cdot (2 x^{2} + 3 (x) - 2)$

Rewrite $3$ as $- 1$ plus $4$

$\frac{1}{2} \cdot (2 x^{2} + (- 1 + 4) x - 2)$

Apply the distributive property.

$\frac{1}{2} \cdot (2 x^{2} - 1 x + 4 x - 2)$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$\frac{1}{2} \cdot ((2 x^{2} - 1 x) + 4 x - 2)$

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

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

Factor the polynomial by factoring out the greatest common factor, $2 x - 1$ .

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

Remove unnecessary parentheses.

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

Factor x^2+3/2x-1

Related Questions

Support LCMGCF.com by disabling your adblocker.