Distributing Negative Signs and Polynomials

Adding polynomials

Subtracting polynomials

Multiplying polynomials

Dividing polynomials

Subtraction is easier

Subtraction is more intuitive

Addition is more complex

Addition is less prone to mistakes

As a multiplication problem

As a division problem

As a subtraction problem

As an addition problem

4 + (-5)

4 + 5

5 - 4

4 - 5

Associative property

Distributive property

Commutative property

Identity property

All terms become positive

All terms remain unchanged

All terms become negative

Only the first term changes

Divide the terms

Multiply the terms

Add the terms

Change the sign of each term

x^4 - x^3 - x^2 - x - 1

x^4 + x^3 + x^2 + x + 1

-x^4 + x^3 - x^2 + x - 1

-x^4 - x^3 - x^2 - x - 1

To make the expression more complex

To change the operation

To simplify the expression

To increase the number of terms

Terms with the same variable and power

Terms with the same coefficients

Terms with different variables

Any terms