Question

3x^3-4x^2+7x-5 divided by x-1

Answer 1

Answer:

3x^2-x+5          and balance x

Step-by-step explanation:

Answer 2

Answer:

Remainder = 1

( For actual division , please refer to the attachment )

Note:

Remainder theorem : If the polynomial p(x) is divided by (x - a) ,then the remainder obtained is given by p(a) .

Solution:

Let the given polynomial be p(x) .

Thus,

p(x) = 3x³ - 4x² + 7x - 5

Thus,

According to the remainder theorem ,

if the given polynomial p(x) is divided by (x - 1) , then the remainder will be p(1).

Thus,

=> R = p(1)

=> R = 3(1)³ - 4(1)² + 7(1) - 5

=> R = 3 - 4 + 7 - 5

=> R = 10 - 9

=> R = 1

Thus,

Thus,Remainder = 1