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6.08 Factoring trinomials where a>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

MA.912.AR.1.1

Identify and interpret parts of an equation or expression that represent a quantity in terms of a mathematical or real-world context, including viewing one or more of its parts as a single entity.

MA.912.AR.1.7

Rewrite a polynomial expression as a product of polynomials over the real number system.

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