3. Polynomials

3.01 Review: Operations with polynomials

3.02 Synthetic and long division

Investigation: Roller coaster polynomials

3.03 Graphs and characteristics of polynomial functions

3.04 Solving polynomial equations

3.05 Remainder and factor theorems

3.06 Roots and zeros

3.07 The binomial theorem

3.08 Proofs and further applications of polynomial identities

3.09 Polynomial identities and complex numbers

United States of America UT

Math III

3.01 Review: Operations with polynomials

Interactive practice questions

Is $2x^3-4x^5+3$2x3−4x5+3 a polynomial?

Yes, it is a polynomial.

A

No, it is not a polynomial.

B

Medium

< 1min

Is $3x^3+\frac{2}{x^7}-1$3x3+2x7−1 a polynomial?

Medium

< 1min

Is $\sqrt{2}x^6+7x$√2x6+7x a polynomial?

Medium

< 1min

For the polynomial $P\left(x\right)=2x^7+2x^5+2$P(x)=2x7+2x5+2

Medium

< 1min

Outcomes

III.A.SSE.1

Interpret polynomial and rational expressions that represent a quantity in terms of its context.

III.A.SSE.1.a

Interpret parts of an expression, such as terms, factors, and coefficients.

III.A.SSE.1.b

Interpret complicated expressions by viewing one or more of their parts as a single entity.

III.A.SSE.2

Use the structure of an expression to identify ways to rewrite it.

III.A.APR.1

Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

What is Mathspace

About Mathspace