Question 4 (Essay Worth 10 points)
1 answer:
As the GCF is 3x let us write a polynomial and then multiply it by 3x.
Here is a polynomial:
If we multiply it by 3x we get
. Since we have a product (two expressions being multiplied together) this is factored. So this is the factored form of the polynomial we created with GCF of 3x.
Let’s multiply the terms in the parenthesis by 3x to get the same polynomial but written a different way:
. This is the factorable polynomial and the one we had before is the factored polynomial (also an equivalent form)
To get another equivalent form I could multiply out only the first term. This gives us
another equivalent form.
Here is a polynomial:
If we multiply it by 3x we get
Let’s multiply the terms in the parenthesis by 3x to get the same polynomial but written a different way:
To get another equivalent form I could multiply out only the first term. This gives us
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Answer:
60 ft²
Step-by-step explanation:
You can divide the figure into 2 parts.
First, solve for the rectangle: Area of a rectangle = b*h = 4ft x 10ft = 40ft²
Then, solve for the triangle:
Height = 10ft - 5ft = 5ft
Base = 12ft - 4ft = 8ft
Area of a triangle = (b*h)/2 = (5ft x 8ft)/2 = 20ft²
Just add them together: 20ft² + 40ft² = 60ft²
:)
