How do you factor $200m^4 + 80m^3 + 8m^2$ ?

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Answer 1 · 2016-03-22T23:20:39

$8m^2(5m+1)^2$

In order to factor $200m^4+80m^3+8m^2$

We begin be taking a common factor from each term
in this case $8m^2$ will go in to each term.

$8m^2(25m^2+10m+1)$

We can now factor the trinomial using the factors of the first and third term.
$25m^2$ factors to $(5m)(5m)$
$1$ factors to $(1)(1)$

$8m^2(5m+1)(5m+1)$

$8m^2(5m+1)^2$

How do you factor 200m^4 + 80m^3 + 8m^2200m^4 + 80m^3 + 8m^2?