The sum of the polynomials 6x3 + 8x2 – 2x + 4 and 10x3 + x2 + 11x + 9 is 16x^3 + 9x^2 + 13x + 13 16x^3 + 9x^2 + 9x + 13 16x^3 + 7x^2 - 9x + 13 . adding 3x – 2 to this sum gives a sum of 16x^3 + 9x^2 + 16x + 15 16x^3 + 9x^2 + 12x + 11 16x^3 + 9x^2 – 7x + 15 .

Step-by-step explanation:

We are given two polynomials:

  and

Add these polynomials

Thus Option B of part a  is correct

Now we are asked to add 3x-2 to this result :

Thus the answer is

Hence option B of part b is correct

n+1

Step-by-step explanation:

h(n) = 4n + 5

g(n) = 3n +4

(h - g)(n) = 4n + 5  - (3n +4 )

distribute the minus sign

              = 4n +5 - 3n -4

Combine like terms

              = 4n -3n  +5-4

               = n +1