Answer:
\(16x^{3} +9x^{2} +9x+13\)
\(16x^{3} +9x^{2} +12x+11\)
Step-by-step explanation:
We are given two polynomials:
\(6x^{3} +8x^{2} -2x+4\) and \(10x^{3} +x^{2}+11x+9\)
Add these polynomials
\(6x^{3} +8x^{2} -2x+4+10x^{3} +x^{2}+11x+9\)
\(16x^{3} +9x^{2} +9x+13\)
Thus Option B of part a is correct
Now we are asked to add 3x-2 to this result :
\(16x^{3} +9x^{2} +9x+13+3x-2\)
\(16x^{3} +9x^{2} +12x+11\)
Thus the answer is \(16x^{3} +9x^{2} +12x+11\)
Hence option B of part b is correct