Topics
3. Solving Quadratic Equations
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United States of AmericaTennessee
Integrated Math 2

3.02 Solving quadratic equations by factoring

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Solve $x^2+5x-14=0$x2+5x−14=0 for $x$x by factoring or otherwise.

Write each solution on the same line, separated by a comma.

Easy
1min

Solve $x^2+19x+88=0$x2+19x+88=0 for $x$x by factoring or otherwise.

Enter each solution on the same line, separated by a comma.

Easy
1min

Solve the equation for $x$x:

$x^2+19x+90=0$x2+19x+90=0

Easy
1min

Solve $x^2+6x-55=0$x2+6x−55=0 for $x$x.

Easy
1min
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Outcomes

M2.A.APR.B.2

Know and apply the Factor Theorem: For a polynomial p(x) and a number a, p(a) = 0 if and only if (x – a) is a factor of p(x).

M2.A.CED.A.1

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

M2.A.REI.B.2

Solve quadratic equations and inequalities in one variable.

M2.A.REI.B.2.A

Solve quadratic equations by inspection (e.g., for x^2 = 49), taking square roots, knowing and applying the quadratic formula, and factoring, as appropriate to the initial form of the equation. Recognize when a quadratic equation has solutions that are not real numbers.

M2.MP1

Make sense of problems and persevere in solving them.

M2.MP3

Construct viable arguments and critique the reasoning of others.

M2.MP6

Attend to precision.

M2.MP7

Look for and make use of structure.

M2.MP8

Look for and express regularity in repeated reasoning.

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