Omar should go back and regroup the terms in step 1 as (3x^3 – 15x^2) – (4x + 20). In step 2, Omar should factor only out of the first expression.
When factoring polynomials, it is essential to look for common factors that can be factored out. In this case, Omar noticed that there are no common factors in the given polynomial. To proceed, he should go back and regroup the terms in step 1 as (3x^3 – 15x^2) – (4x + 20).
This regrouping allows Omar to factor out of the first expression, which can potentially lead to further factoring or simplification. However, without additional information about the polynomial or any specific instructions, it is not possible to determine the exact steps Omar should take after this point.
In summary, regrouping the terms and factoring out of the first expression is a reasonable next step for Omar to explore the polynomial further.
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The length of a cell phone is 2.42.4 inches and the width is 4.84.8 inches. The company making the cell phone wants to make a new version whose length will be 1.561.56 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone
We are given the dimensions of a cell phone, length=2.4 inches, width=4.8 inches and the company making the cell phone wants to make a new version whose length will be 1.56 inches. We are required to find the width of the new phone.
Since the side lengths in the new phone are proportional to the old phone, we can write the ratio of the length of the new phone to the old phone as: 1.56/2.4 = x/4.8 (proportional)Multiplying both sides of the above equation by 4.8, we get:x = 1.56 × 4.8/2.4 = 3.12 inches Therefore, the width of the new phone will be 3.12 inches.
How did I get to the solution The length of the new phone is given as 1.56 inches and it is proportional to the old phone. If we call the width of the new phone as x, we can write the ratio of the length of the new phone to the old phone as:1.56/2.4 = x/4.8Multiplying both sides of the above equation by 4.8, we get:
x = 1.56 × 4.8/2.4 = 3.12 inches Therefore, the width of the new phone will be 3.12 inches.
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