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What is the remainder when p(x) = 5[tex]x^{100}[/tex] - 5 is divided by (x - 1)

a. -5
b. 0
c. 1
d. 5


Sagot :

Answer:

B. 0

Step-by-step explanation:

p(x)= (5x¹⁰⁰–5) ÷ (x-1)

equate x-1 to zero, then transpose

x-1= 0

x= 1 (from negative to positive kasi nilipat)

Substitute the value of x to the given, then solve

p(1)= 5(1)¹⁰⁰ – 5

=5(1) – 5 (1 raised to hundred is still 1)

=5 – 5

=0