Answer
$(r^2-5)(4r^2+3)$
Work Step by Step
$4r^4-17r^2-15$
Factors of -15: 1 and -15, 3 and -5, 5 and -3, 15 and -1
Factors of 4: 1 and 4, 2 and 2, -1 and -4, -2 and -2
$(r^2-5)(4r^2+3)$
$r^2*4r^2+3*r^2+4r^2*-5+3*-5$
$4r^4+3r^2=20r^2-15$
$4r^4-17r^2-15$