Home > Algebra > Addition and Subtraction of Polynomials

How do you find the sum or difference of #(-4z^3-2z+8)-(4z^3+3z^2-5)#?

Answer 1

Genesis Allen

See the entire solution process below:

First, expand the terms in parenthesis. Be careful to handle the signs for each individual term correctly:

#-4z^3 - 2z + 8 - 4z^3 - 3z^2 + 5#

Next, group like terms together:

#-4z^3 - 4z^3 - 3z^2 - 2z + 8 + 5#

Now, combine like terms:

#(-4 - 4)z^3 - 3z^2 - 2z + 13#

#-8z^3 - 3z^2 - 2z + 13#

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

Answer 2

Jace Anderson

To find the sum or difference of (-4z^3-2z+8)-(4z^3+3z^2-5), you simply combine like terms.

When you subtract the second polynomial from the first one, you change the signs of all terms in the second polynomial and then combine like terms:

-4z^3 - 2z + 8 - 4z^3 - 3z^2 + 5

= (-4z^3 - 4z^3) + (-2z) + 0 + (-3z^2) + 8 + 5

= -8z^3 - 3z^2 - 2z + 13

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.