Polynomials & Polynomial Operations Lesson

$$3x^2y^4z^3$$

2x + 3y

$$x^5·x^2$$

$$4m^3-2m^2+m-2$$

A nonzero constant has degree 0.

A nonzero constant has degree 1.

A nonzero constant has no degree.

A nonzero constant has degree equal to its coefficient.

Polynomials cannot have division by a variable

Polynomials cannoy have fractional exponents.

Polynomials cannot have negative exponents.

Polynomials cannot have variables under a radical.

1

2

3

4

3

-3

6

-5

$$4x^3-5x^2+6x$$

$$3x^2+6xy-9y^2$$

$$10x^4-3x^3+6x^2-5x$$

$$3\sqrt{x}$$

Combine like terms

Multiply the coefficients

Divide the terms

Factor the polynomials

6x^2 and 2x^2

3x and 9x

-5 and -8

6x^2 and 9x

$$8x-64$$

$$8x^2-64$$

$$8x^2+16x-64$$

$$6x^2+16x-64$$