Question

When (x+2)to the 6th power
is written as polynomial

Answer 1

(x+2)^6
=(x^2+4x+4)(x+2)^5
=(x^3+6x^2+12x+8)(x+2)^4
=(x^4+6x^3+24x^2+32x+16)(x+2)^3
=(x^5+8x^4+36x^3+80x^2+80x+32)(x+2)^2
=(x^6+10x^5+52x^4+152x^3+240x^2+192x+64)(x+2)
=x^7+12x^6+72x^5+254x^4+544x^3+472x^2+448x+164

Answer: x^7+12x^6+72x^5+254x^4+544x^3+472x^2+448x+164