Answer:
[tex]4p^4+6p+5[/tex]
Step-by-step explanation:
Given
[tex]\frac{12p^5+20p^4+18p^2+45^p+25}{3p+5}[/tex]
Step 1:
Now Dividing the above Equation our first quotient will be [tex]4p^4[/tex] and First remainder will be [tex]18p^2+45p[/tex]
Step 2:
Now Dividing the First remainder [tex]18p^2+45p[/tex] with [tex]3p+5[/tex]
now our second Quotient will be [tex]4p^4+6p[/tex] and Second remainder will be [tex]15p+25[/tex]
Step 3:
Now Dividing Second remainder [tex]15p+25[/tex] with [tex]3p+5[/tex]
now our third Quotient will be [tex]4p^4+6p +5[/tex] and Remainder will be 0.
[tex]\therefore[/tex] Our Final Answer is [tex]4p^4+6p +5[/tex] with remainder 0