(2x7 + 7x4 + 6) - (2x4 - x)= _____A.2x7 + 9x4 - x + 6B.6x3 + 6C.2x7 + 5x4 + x + 6D.4x11 + 6x3 +6
Question
(2x7 + 7x4 + 6) - (2x4 - x)= _____A.2x7 + 9x4 - x + 6B.6x3 + 6C.2x7 + 5x4 + x + 6D.4x11 + 6x3 +6
Solution
To subtract one polynomial from another, you subtract like terms. Like terms are terms that have the same variable and exponent.
The given polynomials are (2x^7 + 7x^4 + 6) and (2x^4 - x).
Subtract the second polynomial from the first:
2x^7 + 7x^4 + 6 - (2x^4 - x)
Distribute the negative sign to each term in the second polynomial:
2x^7 + 7x^4 + 6 - 2x^4 + x
Combine like terms:
2x^7 + (7x^4 - 2x^4) + 6 + x
This simplifies to:
2x^7 + 5x^4 + x + 6
So, the answer is C. 2x^7 + 5x^4 + x + 6.
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