Question

p(x) = x - 4x +x+6, g(x)=x – 3​

Answer 1

Answer:

answer is 0

hope this helps.....

Answer 2

Solution

Given :-

p(x) = x³ - 4x² + x + 6

g(x) = x - 3

Now we have to check whether the p(x) is divisible by the g(x) or not , if not then what is the reminder obtained.

Now we will be using reminder theorem in order to check the divisibility .

Reminder theorem :- It says that when the zero of g(x) is putted into the p(x) then a reminder will be obtained , if reminder = 0 then p(x) is divisible by g(x) .

Now we will make g(x) = 0

→ x - 3 = 0

→ x = 3

Now we will put x = 3 in p(x)

→ p(3) = (3)³ - 4(3)² + (3) + 6

→ p(3) = 27 - 36 + 3 + 6

→ p(3) = 36 - 36

→ p(3) = 0

So g(x) is a factor of p(x)