Complete the following activities :
If p(x) = `( x^3 + 4x - 5 )` is divided by `( x-1 )` :

(x-4) and (x-1/3) are the factors of the polynomial ax^2 -13x +b . Complete the following activity to find the values of a and b. p(x) =ax^2 -13x +b . (x-4) os the factor of p(x)

Choose the correct alternative : If x^3 - 3x^2 + 3x - 3 is divided by x - 1 , then the remainder is …………

(x-3) and (x-1/3) are the factors of the polynomial ax^2 -10x +b . Complete the following activity to find the values of a and b. p(x) =ax^2 -10x +b . By factor theorem,p(3) =0 ,

Differentiate the following w. r. t. x : (1+4x)^5 + (3 + x - x^2)^8

Choose the correct altenative answer of each of the following question: What is the remainder, when x^3 +3x^2 +4x +6 is divided by x+3 ?

Using remainder theorem , find the remainder when : 3x^2 + 4x - 5 is divided by x - 2

Divide p(x)= 3x^2 +x +7 by x+2 .

Differentiate the following w.r.t. x: (1+4x)^5 (3+x-x^2)^8

Differentiate the following w. r. t. x : (x^2 + 4x +1)^3 + (x^3 -5x -2)^4