find the degre of polinomial(x+1) (x2-x-x4+1)
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Answer:
5
Step-by-step explanation:
( x + 1 ) ( x² - x - x⁴+ 1 )
= x ( x² - x - x⁴+ 1 ) + 1 ( x² - x - x⁴+ 1 )
= x³ - x² - x⁵ + 1 + x² - x - x⁴ + 1
= - x⁵ - x⁴ + x³ - x² + x² - x + 1 + 1
= - x⁵ - x⁴ + x³ - x + 2
The degree of the polynomial is the highest degree of the polynomial.
Therefore,
the degree of the polynomial - x⁵ - x⁴ + x³ - x + 2 is 5.
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