Question
The difference of x4+2x2-3x+7 and another polynomial is x3+x2+x-1. What is the
another polynomial?
The correct answer is: Hence, another polynomial is x4 - x3 + x2 - 4x + 8.
Answer:
○ Subtraction of polynomials.
○ Always take like terms together while performing subtraction.
○ In addition to polynomials only terms with the same coefficient are subtracted.
- Step by step explanation:
○ Given:
One polynomial: x4+2x2-3x+7
Difference: x3+x2+x-1.
○ Step 1:
○ Let another polynomial be A.
So,
(x4+2x2-3x+7) – A = (x3+x2+x-1)
A = (x4+2x2-3x+7) - (x3+x2+x-1)
A = x4 + 2x2 - 3x + 7 - x3 - x2 - x + 1
A = x4- x3 + 2x2- x2 - 3x - x + 7 + 1
A = x4 - x3 + x2 - 4x + 8
- Final Answer:
Hence, another polynomial is x4 - x3 + x2 - 4x + 8.
○ Step 1:
○ Let another polynomial be A.
So,
(x4+2x2-3x+7) – A = (x3+x2+x-1)A = (x4+2x2-3x+7) - (x3+x2+x-1) A = x4 + 2x2 - 3x + 7 - x3 - x2 - x + 1 A = x4- x3 + 2x2- x2 - 3x - x + 7 + 1 A = x4 - x3 + x2 - 4x + 8Related Questions to study
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