Factor Quadratic Trinomials with Leading Coefficient 1: exemplo 7.25

$\begin{array}{cccc}& & & 2x+x^2-48\hfill \\ \text{First we put the terms in decreasing degree order.}\hfill & & & x^2+2x-48\hfill \\ \text{Factors will be two binomials with first terms}x.\hfill & & & \left(x\right)\left(x\right)\hfill \end{array}$

As shown in the table, you can use $\mathrm{-6},8$ as the last terms of the binomials.

Check.

$(x-6)(x+8)$

$x^2-6q+8q-48$

$x^2+2x-48✓$