4. Polynomials

4.01 Review: Operations with polynomials

4.02 Synthetic and long division

Investigation: Roller coaster polynomials

4.03 Graphs and characteristics of polynomial functions

4.04 Solving polynomial equations

4.05 Remainder and factor theorems

4.06 Roots and zeros

4.07 The binomial theorem

4.08 Proofs and further applications of polynomial identities

4.09 Polynomial identities and complex numbers

United States of America TX

Algebra 2

4.08 Proofs and further applications of polynomial identities

Interactive practice questions

Prove that $\left(m-n\right)^2=m^2-2mn+n^2$(m−n)2=m2−2mn+n2, showing all steps of work.

Easy

2min

Use the identity $\left(u+v\right)^2=u^2+2uv+v^2$(u+v)2=u2+2uv+v2 with $v<10$v<10 to find the value of $1002^2$10022.

Easy

6min

$Kathleen$ noticed that if she multiplies the square number $289$289 by another square number $64$64, the result is a square number.

Easy

2min

Consider the following diagram.

Easy

4min

Outcomes

A2.7.C

Determine the quotient of a polynomial of degree three and of degree four when divided by a polynomial of degree one and of degree two

A2.7.E

Determine linear and quadratic factors of a polynomial expression of degree three and of degree four, including factoring the sum and difference of two cubes and factoring by grouping

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