## Introductory Algebra for College Students (7th Edition)

$x^2(x+2)(x-5)$
Factoring the $GCF= x^2 ,$ the given expression, $x^4-3x^3-10x^2 ,$ is equivalent to \begin{array}{l}\require{cancel} x^2(x^2-3x-10) .\end{array} The trinomial expression above has $c= -10$ and $b= -3 .$ The possible factors of $c$ are $\{ 1,-10 \} ,\{ 2,-5 \} \{ -1,10 \} ,\{ -2,5 \}$. Among these factors, the pair whose sum is equal to $b$ is $\{ 2,-5 \}.$ Hence, the factored form of the given expression is \begin{array}{l}\require{cancel} x^2(x+2)(x-5) .\end{array}