Question

find the factor and both forms.
find the missing side lengths under the \splats.\
then the standard and factored form.
for this desmos activity:

1. always put the left side factor first in factored

form.

1. always combine like terms in standard form.
2. you do not need the 1 in front of any variable.
3. do not use double operations:

for example, simplify ( x + -12 ) to ( x - 12 )

1. do not delete the parentheses! delete the? only.
2. last, but not least: no spaces!

you need to put the + or - sign of the gcf for the
orange splat.
form\texpression\tam i correct?
red splat\t\t
orange splat\t\t
standard form\t\t
factored form\t(??)\t
check my work

Explanation:

Step1: Find red splat (GCF of $x^2,7x$)

The greatest common factor of $x^2$ and $7x$ is $x$.

Step2: Find orange splat (GCF of $-8x,-56$)

The greatest common factor of $-8x$ and $-56$ is $-8$.

Step3: Write standard form (sum all terms)

Add the four terms in the table: $x^2 -8x +7x -56$
Combine like terms: $x^2 + (-8x+7x) -56 = x^2 -x -56$

Step4: Write factored form (use factors)

Use the left-side terms and splat terms: $(x+7)(x-8)$

Answer:

Red Splat: $x$
Orange Splat: $-8$
Standard Form: $x^2-x-56$
Factored Form: $(x+7)(x-8)$