if x+1 is a factor of x^31 + 2x^100 - k, find k
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x+1 is a factor of x³¹+2x¹⁰⁰-k
→ x-1 = 0
→ x = -1
Substituting the value of x in the equation,
→ x³¹ + 2x¹⁰⁰ - k
→ (-1)³¹ + 2(-1)¹⁰⁰ - k
→ -1 + 2(1) - k
→ -1 + 2 - k
→ 1 - k
→ - k = -1
.°. k = 1
The value of k is 1.
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