Home > Algebra > Division of Polynomials

How do you simplify #(t^2-4t-32)/(t-8)?#?

Answer 1

Ethan Adkins

#t+4#

Let's factor the numerator. What two numbers have a sum of #-4# and a product of #-32#?

After some trial and error, we arrive at #-8# and #4#. Thus, we have

#((t-8)(t+4))/(t-8)#

which can be simplified to

#(cancel((t-8))(t+4))/cancel(t-8)#

#=>t+4#

Hope this helps!

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Savannah Anderson

To simplify the expression (t^2-4t-32)/(t-8), you can use polynomial long division or synthetic division. By dividing t^2-4t-32 by t-8, the simplified form is t-4.

By signing up, you agree to our Terms of Service and Privacy Policy

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.