High School

If the polynomial \( p(x) \) is divided by \( x - 5 \), and the remainder is 193, then \( p(5) = 193 \).

True or False?

Answer :

Answer:

False

Step-by-step explanation:

p(x)/(x-5)=q+193

p(x)=q(x-5)+193q

p(5)=q(5-5)+193q= 193q

p(5)=193 if q=1

but

if x=5, p(x) can't be divided by x-5=0

Answer: FALSE

Step-by-step explanation:

False. If the remainder is 193, then the value of the function wouldnt be equal to the remainder. That makes no sense at all. The remainder over x-5 would actually be added onto the real answer

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