If sum of two polynomials is 5c² – 6c and one of the polynomials is -2c + 4c² + 1, what is the other binomial?
o c² – 4c – 1
o 9c² – 8c + 1
o 3c² – 2c + 1
o I do not know the answer yet.
o c² – 8c – 1
If sum of two polynomials is 5c² – 6c and one of the polynomials is -2c + 4c² + 1, what is the other binomial?
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To find the other polynomial, we can set up the equation based on the information given:
Let the other polynomial be ( P(c) ).
We know:
[ P(c) + (-2c + 4c^2 + 1) = 5c^2 – 6c ]
We can rearrange this to find ( P(c) ):
[ P(c) = (5c^2 – 6c) – (-2c + 4c^2 + 1) ]
Simplifying further:
1. Distribute the negative:
[ P(c) = 5c^2 – 6c + 2c – 4c^2 – 1 ]
2. Combine like terms:
[ P(c) = (5c^2 – 4c^2) + (-6c + 2c) – 1 ]
[ P(c) = 1c^2 – 4c – 1 ]
So the other polynomial is:
[ c^2 – 4c – 1 ]
Therefore, the correct answer is:
c² – 4c – 1.
If you have more questions or need further clarification, feel free to ask!