Factor completly 216r3168r2252r4144rSolution216r3168r2252r41

Factor completly:

216r^3-168r^2-252r^4+144r

= -252r^4 + 216r^3 -168r^2 +144r

= r( -252r^3 + 216r^2 -168r +144 )

Taking out -12 as common factor from all terms:

= -12r ( 21r^318r^2+14r 12)

= -12r { ( 21r^3 -18r^2) + ( 14r -12) } Grouping together terms

= -12r { 3x^2( 7x -6) + 2(7r -6) }

= -12r ( 3r^2 +2) (7r -6)

So, factors ofpolynomial are : r , (3r^2+2) , and (7r -6)