Question

Which expression is equivalent to the polynomial x2-x-6

Answer 1

Answer:

$(x - 2)(x + 3)$

Step-by-step explanation:

The given polynomial is

${x}^{2} - x - 6$

The factors of -6 that sums up to -1 are -3,2.

We split the middle term to obtain:

${x}^{2} -3 x + 2x - 6$

We factor to get:

$x(x - 3) + 2(x - 3)$

We factor further to get:

$(x - 3)(x + 2)$

The polynomial is equivalent to:

$(x - 3)( x + 2)$