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

4.09 Polynomial identities and complex numbers

Interactive practice questions

Complete the factoring by filling in the empty box.

$9ix-54=9i\left(\editable{}\right)$9ix−54=9i()

Easy

1min

Factor the expression $x^2+25$x2+25. Leave your answer in terms of $i$i.

Easy

1min

Factor the expression $64x^2+81$64x2+81. Leave your answer in terms of $i$i.

Easy

1min

Factor the expression $3x^2+108$3x2+108. Leave your answer in terms of $i$i.

Easy

1min

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.D

Determine the linear factors of a polynomial function of degree three and of degree four using algebraic methods

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

What is Mathspace

About Mathspace