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

Answer 1

#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#

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Answer 2

Eli Assouline

To factor the expression (200m^4 + 80m^3 + 8m^2), you can start by factoring out the greatest common factor, which is (8m^2), yielding: (8m^2(25m^2 + 10m + 1)). Then, you can factor the quadratic expression (25m^2 + 10m + 1) as ((5m + 1)^2). So, the fully factored expression is (8m^2(5m + 1)^2).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.