Polynomials

Definitions

100

What is a polynomial?

An expression that consists of one or more terms that each has a coefficient multiplied by a variable raised to a non-negative integer.

200

What is a monomial?

A polynomial consisting of one term.

300

What is a binomial?

A polynomial consisting of two terms.

400

What is a trinomial?

A polynomial with three terms. 

Problems

100

Solve (3x+4)+(2x+7)

5x+11

200

Solve 4(2x²-9)

8x²-36

300

Solve (5x+2)-(4x-3)

x+5

400

Solve (5x³-2x²+7x-4)(3x+2)

15x⁴+4x³+17x²+2x-8

Identify

100

What kind of polynomial is 10y³+7?

A binomial

200

What kind of polynomial is 7x³?

A monomial

300

What kind of polynomial is 5x²-3x+2?

A trinomial

400

Is 5x^-2+7x⁴-3x³+7x-3 a polynomial? Why or why not?

No, because there is a variable raised to a negative integer.