Factor 3x^2+x-4

$3 x^{2} + x - 4$

Step 1

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 $a \cdot c = 3 \cdot - 4 = - 12$ and whose sum is $b = 1$ .

Multiply by $1$ .

$3 x^{2} + 1 x - 4$

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

$3 x^{2} + (- 3 + 4) x - 4$

Apply the distributive property.

$3 x^{2} - 3 x + 4 x - 4$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 x^{2} - 3 x) + 4 x - 4$

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

$3 x (x - 1) + 4 (x - 1)$

Step 3

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

$(x - 1) (3 x + 4)$

Factor 3x^2+x-4

Related Questions

Support LCMGCF.com by disabling your adblocker.