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6.08 Factoring trinomials where a is not 1

Adaptive
Worksheet

Interactive practice questions

Consider the given area model and the key for the dimensions of the different parts of the model.

Key:

  • Large squares have dimensions $x$x by $x$x units
  • All rectangles have dimensions $x$x by $1$1 or $1$1 by $x$x units
  • Small squares have dimensions $1$1 by $1$1 unit
a

Select the two dimensions of the given area model.

$3x+1$3x+1

A

$x+3$x+3

B

$3x+2$3x+2

C

$2x+3$2x+3

D
b

Express the area of the model as a product of two linear factors.

c

Fill in the coefficients of the expanded form for the area of the model.

Area $=$=$\editable{}$$x^2$x2$+$+$\editable{}$$x$x$+$+$\editable{}$ units2

Easy
1min

Consider the given area model and the key for the dimensions of the different parts of the model.

Easy
1min

Consider the quadratic expression in factored form: $\left(2x+9\right)\left(x+3\right)$(2x+9)(x+3).

Easy
2min

Consider the quadratic expression in factored form: $\left(2x+11\right)\left(2x+7\right)$(2x+11)(2x+7).

Easy
2min
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Outcomes

A1.A.APR.A.1

Add, subtract, and multiply polynomials. Use these operations to demonstrate that polynomials form a closed system that adhere to the same properties of operations as the integers.

A1.MP1

Make sense of problems and persevere in solving them.

A1.MP5

Use appropriate tools strategically.

A1.MP7

Look for and make use of structure.

A1.MP8

Look for and express regularity in repeated reasoning.

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