1 answer:
<h3>Answer: </h3>
The GCF is 4
The polynomial factors to
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Further explanation:
Ignore the x terms
We're looking for the GCF of 12, 4 and 20
Factor each to their prime factorization. It might help to do a factor tree, but this is optional.
- 12 = 2*2*3
- 4 = 2*2
- 20 = 2*2*5
Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.
We can then factor like so
The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.
The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).
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Answer:
A(n) = L(n) × W(n) and
Step-by-step explanation:
We are given that the length of the rectangular garden is L and width is W.
Also, in terms of 'n',
Length is given by, L(n) = n + 2
Width is given by, W(n) = 0.5n + 1.
Now, we know that, Area of rectangle = Length × Width.
Therefore, area of Kirti's garden is given by, A(n) = L(n) × W(n).
Thus, formula of area in terms of L(n) and W(n) is A(n) = L(n) × W(n).
Moreover, as A(n) = L(n) × W(n).
i.e. A(n) = (n+2) × (0.5n+1)
i.e.
i.e.
i.e.
Hence, the formula for area in terms of 'n' is .