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1.06 Polynomial equations and inequalities

Adaptive
Worksheet

Interactive practice questions

Solve the following equation:

$x^3-125=0$x3125=0

Easy
< 1min

Solve the following equation:

$\left(5x-4\right)\left(x+3\right)\left(x-2\right)=0$(5x4)(x+3)(x2)=0

Easy
< 1min

Solve the following equation:

$\left(x+3\right)^2\left(x-6\right)\left(5x-2\right)=0$(x+3)2(x6)(5x2)=0

Easy
< 1min

Solve the following equation:

$x^4-16x^2=0$x416x2=0

Easy
1min
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Outcomes

M3.N.Q.A.1

Use units as a way to understand real-world problems.*

M3.N.Q.A.1.B

Use appropriate quantities in formulas, converting units as necessary.

M3.A.CED.A.1

Create equations and inequalities in one variable and use them to solve problems in a real-world context.*

M3.A.CED.A.3

Rearrange formulas to isolate a quantity of interest using algebraic reasoning.*

M3.A.REI.A.1

Understand solving equations as a process of reasoning and explain the reasoning. Construct a viable argument to justify a solution method.

M3.F.IF.A.2

Understand geometric formulas as functions.*

M3.MP1

Make sense of problems and persevere in solving them.

M3.MP2

Reason abstractly and quantitatively.

M3.MP3

Construct viable arguments and critique the reasoning of others.

M3.MP4

Model with mathematics.

M3.MP6

Attend to precision.

M3.MP7

Look for and make use of structure.

M3.MP8

Look for and express regularity in repeated reasoning.

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