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