1.07 Factoring trinomials where a=1
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.
Which expression represents the area of the rug?
$x\left(x+3\right)$x(x+3)
$x+3$x+3
$3x^2$3x2
$3x$3x
What are the areas of each type of section from the rug?
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has an area of $\editable{}$ in2 |
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has an area of $\editable{}$ in2 |
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.
The area of a quilt can be expressed as $x^2+6x+4x+24$x2+6x+4x+24.
Consider the positive trinomial $x^2+10x+24$x2+10x+24.
Consider the positive trinomial $x^2+19x+88$x2+19x+88.