Factor 3x^2-13x+4

$3 x^{2} - 13 x + 4$

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 $b = - 13$ .

Factor $- 13$ out of $- 13 x$ .

$3 x^{2} - 13 (x) + 4$

Rewrite $- 13$ as $- 1$ plus $- 12$

$3 x^{2} + (- 1 - 12) x + 4$

Apply the distributive property.

$3 x^{2} - 1 x - 12 x + 4$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 x^{2} - 1 x) - 12 x + 4$

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

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

Step 3

Factor the polynomial by factoring out the greatest common factor, $3 x - 1$ .

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

Factor 3x^2-13x+4

Related Questions

Support LCMGCF.com by disabling your adblocker.