Question

p(x)= x³-6x²+2x -4, g(x) =1-3/2x​

Answer 1

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Answer 2

ANSWER :

p(x) = x³ - 6x²+ 2x - 4

g(x) = 1- ³ x

²

To find the remainder when p(x) is divided by g(x), we are going to use the following theorem:-

Remainder theorem:

When a polynomial p(x) is divided by (x-a) then the remainder will be p(a).

In g(x):

x = 3 - 1

2

x = 3 - 2

2

Substituting the value of x in p(x) :

(½) ³ - 6(½) ²+2(½) - 4

= 1 - 3 + 1 - 4

8 2

= 1 - 12 - 24

8

= _ 35

8

Therefore, the remainder when p(x) is divided by g(x) is - 35/8.