8y^4+10y^3+12y+15
-----------------
4y+5
divide then express your anwser as a polynomial or mixed expression
Do i look for its common factors then start dividing?
yes
use 'grouping'
take out the common factor from the first two terms, and the common factor of the second pair of terms and it should become obvious
8x=20
To divide the expression 8y^4 + 10y^3 + 12y + 15 by 4y + 5 using grouping, we can first identify the common factors. In this case, we can factor out 2 from the first two terms and factor out 3 from the last two terms.
So, the expression becomes:
2y^3(4y + 5) + 3(4y + 5)
Now, we can see that both terms have a common factor of (4y + 5). We can factor this out as well:
(4y + 5)(2y^3 + 3)
Therefore, the expression 8y^4 + 10y^3 + 12y + 15 divided by 4y + 5 is equal to the polynomial or mixed expression (4y + 5)(2y^3 + 3).