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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

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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