Question

The degree of the polynomial (x+1) (x2-x-x5+1) is

Answer 1

Answer:

6

Step-by-step explanation:

= (x+1) ( x² - x - x⁵ +1)

= x(x²-x-x⁵+1) +1 ( x²-x-x⁵ +1)

= x³ -x²-x⁶ +x +x² -x -x⁵+1

= - x⁶ -x⁵ + x³ +1

As, the highest power of the variable (x) is 6, thus the degree is 6.

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Answer 2

Answer:

The degree of the polynomial (x+1) (x2-x-x5+1) is 6

Step-by-step explanation:

The given polynomial is,

$(x + 1)( {x}^{2} - x - {x}^{5} + 1)$

$= {x}^{3} - {x}^{2} - {x}^{6} + x + {x}^{2} - x - {x}^{5} + {x}^{3}+ 1$

$= - {x}^{6} - {x}^{5} + {x}^{3} + 1$

The degree of the polynomial is 6

The leading coefficient is -1