Question

Find the value of a if the polynomial ax^3+3x^2-3 and 2x^3 -5x + a when divided by x -4 leave the same remainder

Answer 1

Answer:

Step-by-step explanation:

x-4)ax^3+3x^2-3(ax^2+4ax+3x+16a+12

      ax^3-4ax^2

-----------------------------------

4ax^2+3x^2-3

4ax^2-16ax

----------------------------------

3x^2+16ax-3

3x^2-12x

---------------------------

     16ax+12x-3

     16ax-64a

------------------------

12x+64a-3

12x-48

---------------

48+64a-3=45+64a

x-4)2x^3-5x+a(2x^2+8x+27

     2x^3-8x^2

---------------------------

8x^2-5x+a

8x^2-32x

--------------------------

27x+a

27x-108

---------------

a+108

45-64a=a+108

63a=-108+45=-63

a=-1