Question

Factor the polynomials : 12x^2-26x-10

Answer 1

\[12x^2-26x-10 \]
\[2 \cdot 6x^2-2 \cdot 13x-2 \cdot 5\]
\[2(6x^2-13x-5)\]

Answer 2

now see if there are two factors of 6(-5) that have product 6(-5)
and have sum -13
6(-5)=-30=2(-15)
-13=2-15

Answer 3

\[6x^2-15x+2x-5\]
\[3x(2x-5)+1(2x-5)\]
\[(2x-5)(3x+1)\]
----------------
\[2(6x^2-13x-5)=2(2x-5)(3x+1)\]