topic badge

4.05 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
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

A2.N.Q.A.1

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

A2.N.Q.A.1.B

Use appropriate quantities in formulas, converting units as necessary.

A2.A.APR.A.2

Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.

A2.A.CED.A.1

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

A2.A.CED.A.2

Create equations in two variables to represent relationships between quantities and use them to solve problems in a real-world context. Graph equations with two variables on coordinate axes with labels and scales, and use the graphs to make predictions.*

A2.F.IF.A.3

Understand geometric formulas as functions.*

A2.MP1

Make sense of problems and persevere in solving them.

A2.MP2

Reason abstractly and quantitatively.

A2.MP3

Construct viable arguments and critique the reasoning of others.

A2.MP4

Model with mathematics.

A2.MP6

Attend to precision.

A2.MP7

Look for and make use of structure.

A2.MP8

Look for and express regularity in repeated reasoning.

What is Mathspace

About Mathspace