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6.07 Factoring trinomials where a=1

Adaptive
Worksheet

Interactive practice questions

A square rug originally had a side length of $x$x inches. One of its dimensions is extended by $3$3 inches.

We can model the area of the rug as a collection of rectangles, as shown in the diagram. The square in the top-left of the diagram has a side length of $x$x inches and the short side of each rectangle is $1$1 inch.

a

Which expression represents the area of the rug?

$x\left(x+3\right)$x(x+3)

A

$x+3$x+3

B

$3x^2$3x2

C

$3x$3x

D
b

What are the areas of each type of section from the rug?

has an area of $\editable{}$ in2
has an area of $\editable{}$ in2
c

Write the total area of the rug in terms of $x$x.

Give your answer in the standard form $ax^2+bx+c$ax2+bx+c.

Easy
1min

The area of a quilt can be expressed as $x^2+6x+4x+24$x2+6x+4x+24.

Easy
1min

Consider the positive trinomial $x^2+10x+24$x2+10x+24.

Easy
1min

Consider the positive trinomial $x^2+19x+88$x2+19x+88.

Easy
1min
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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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