Rita built a toy box. She first cut out all the pieces she would need by using the pattern shown. Based on the pattern, which ph
rase best describes the shape of the completed toy box?
A: A cube with a box top
B: A cube with no box top
C: A rectangular prism with a box top
D: A rectangular prism with no box top
A: A cube with a box top
B: A cube with no box top
C: A rectangular prism with a box top
D: A rectangular prism with no box top
2 answers:
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To split this trinomial into two binomials, let's try and find two numbers which add to 6 and multiply to 8. To do this, we can list all the factors of 8 and then choose which factors also add to 6.
Factors of 8: (1, 8), (2, 4)
1 + 8 = 9, meaning that 1 and 8 are not the factors we are looking for. However, 2 and 4 do add to 6. By combining these numbers which an x (so that we can produce the term at the front of the trinomial), we find the binomials:
and
The answer is x + 2 and x + 4.