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

4.02 Synthetic and long division

Interactive practice questions

Which of the following is the correct simplification of $\frac{z+10}{10}$z+1010?

$\frac{z}{10}+1$z10+1

A

$z+1$z+1

B

$z$z

C

Easy

< 1min

Simplify the following expression, for $x\ne0$x≠0:

$\frac{9x^3+5x^5}{x}$9x3+5x5x

Easy

< 1min

Simplify $\frac{18x^3-12x^2+24}{3}$18x3−12x2+243.

Easy

< 1min

Simplify the following expression, for $x\ne0$x≠0:

$\frac{48x^4+12x^3-30x^2-42x}{6x}$48x4+12x3−30x2−42x6x

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

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