How do you factor #z^3+2z^2+z+2#?

Answer 1

Look for two pairs of terms which share a common factor between the pairs. In this case the pair #color(red)(z^3+2z)# and the pair #color(blue)(z+2)# share a common factor: #color(green)(z+2)#

#color(red)(z^3+2z^2) + color(blue)(z+2)#

#= (z^2)color(green)((z+2))+(1)color(green)((z+2))#

#= (z^2+1)color(green)((z+2))#

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Answer 2

Hazel Anglin

To factor the polynomial z^3 + 2z^2 + z + 2, you can use various methods such as synthetic division, grouping, or factoring by inspection. However, in this case, the polynomial does not seem to have any rational roots, so you may need to use more advanced factoring techniques or potentially use numerical methods to find the roots.

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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.