2. Polynomials and Analysis of Nonlinear Functions

2.01 Review: Operations with polynomials

2.02 Factoring with sum and difference of cubes

2.03 Review: Factoring techniques

2.04 Factoring polynomials completely

2.05 Remainder and factor theorems

Investigation: Roller coaster polynomials

2.06 Graphs and characteristics of polynomial functions

2.07 Solving polynomial equations

2.08 Roots and zeros

2.09 Polynomial identities

2.10 Simplifying rational expressions

2.10 Synthetic and long division

2.11 Solving equations with rational expressions

2.12 Graphical and analytical solutions to rational equations

2.13 Simplifying radical expressions

2.14 Operations with radical expressions

2.15 Solving radical equations

Investigation: Modeling tsunami movement with a radical function

2.19 Graphical solutions to quadratic equations

2.20 Review: Relations and functions

2.21 Operations with functions

2.22 Function families and transformations

2.23 Units resulting from a formula or graph

2.24 Characteristics from a graph

United States of America NJ

Algebra 2

2.15 Solving radical equations

Interactive practice questions

Solve the equation to find the value of $h$h.

$\sqrt{h}=5$√h=5

Easy

< 1min

Solve the equation to find the value of $x$x.

$\sqrt{x}=\frac{3}{8}$√x=38

Easy

< 1min

Solve the equation to find the value of $p$p.

$\sqrt{p}+4=7$√p+4=7

Easy

< 1min

Solve the equation to find the value of $y$y.

$\sqrt{y}-6=1$√y−6=1

Easy

< 1min

Outcomes

A.CED.A.1

Create equations and inequalities in one variable and use them to solve problems.

A.REI.A.1

Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

A.REI.A.2

Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

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