Question
The sum of two expressions is x3 -x2 + 3x- 2. If one of them is x2 + 5x- 6, what is the
other?
Hint:
Addition of polynomials.
○ Always take like terms together while performing addition.
○ In addition to polynomials only terms with the same coefficient are added.
The correct answer is: Hence, the other term is x3 -2x2 - 2x + 4.
Answer:
- Step by step explanation:
○ Given: Sum: x3 -x2 + 3x- 2
Term : x2 + 5x- 6
○ Step 1:
○ Let the other term be A.
As given sum is x3 -x2 + 3x- 2
A + x2 + 5x- 6 = x3 -x2 + 3x-
A = ( x3 -x2 + 3x- 2 ) - ( x2 + 5x- 6 )
A = x3 -x2 + 3x - 2 - x2 - 5x + 6
A = x3 -x2 - x2 + 3x - 5x - 2 + 6
A = x3 -2x2 - 2x + 4
- Final Answer:
Hence, the other term is x3 -2x2 - 2x + 4.
○ Step 1:
○ Let the other term be A.
As given sum is x3 -x2 + 3x- 2
A + x2 + 5x- 6 = x3 -x2 + 3x-A = ( x3 -x2 + 3x- 2 ) - ( x2 + 5x- 6 )A = x3 -x2 + 3x - 2 - x2 - 5x + 6 A = x3 -x2 - x2 + 3x - 5x - 2 + 6A = x3 -2x2 - 2x + 4Related Questions to study
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