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3.02 Solutions to quadratic equations

Adaptive
Worksheet

Interactive practice questions

Consider the polynomial function shown in the graph below. What number type best describes the values of its zeros?

Loading Graph...

Integer zeros

A

Rational or irrational zeros

B

Non-real zeros

C
Easy
< 1min

Consider the polynomial function shown in the graph below. What number type best describes the values of its zeros?

Easy
< 1min

Consider the polynomial function shown in the graph below. What number type best describes the values of its zeros?

Easy
< 1min

Consider the polynomial $p\left(x\right)=\left(x+\frac{13}{3}\right)\left(x-\frac{11}{3}\right)$p(x)=(x+133)(x113).

What number type best describes the values of the solutions of the equation $p\left(x\right)=0$p(x)=0?

Easy
< 1min
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Outcomes

A2.N.Q.A.1.B

Use appropriate quantities in formulas, converting units as necessary.

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.A.CED.A.3

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

A2.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.

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.MP5

Use appropriate tools strategically.

A2.MP6

Attend to precision.

A2.MP7

Look for and make use of structure.

A2.MP8

Look for and express regularity in repeated reasoning.

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