Question

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. 2. always combine like terms in standard form. 3. you do not need the 1 in front of any variable. 4. do not use double operations: for example, simplify ( x + -12 ) to ( x - 12 ) 5. do not delete the parentheses! delete the? only. 6. last, but not least: no spaces! you need to put the + or - sign of the gcf for the blue splat. form expression am i correct? green splat blue splat standard form factored form (??) check my work

Explanation:

Step1: Find Green Splat (GCF of $x^2,2x$)

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

Step2: Find Blue Splat (GCF of $9x,18$)

The greatest common factor of $9x$ and $18$ is $9$.

Step3: Write Standard Form (sum all terms)

Add the four terms in the table: $x^2 + 9x + 2x + 18 = x^2 + 11x + 18$

Step4: Write Factored Form (pair factors)

The factors are the top row and left column terms: $(x+9)(x+2)$

Answer:

Green Splat: $x$
Blue Splat: $9$
Standard Form: $x^2+11x+18$
Factored Form: $(x+2)(x+9)$