Question

multiply the polynomials.
(7z+5)(z^2-2z+2)

Answer 1

Write it as:
7z(z^2-2z+2)+5(z^2-2z+2)
and distribute.
Then collect terms in decreasing powers of z.

Answer 2

\[(7z+5)(z^2-2z+2)\]
\[=(7z+5)(z2+−2z+2)\]
\[=(7z)(z2)+(7z)(−2z)+(7z)(2)+(5)(z2)+(5)(−2z)+(5)(2)\]
\[=7z3−14z2+14z+5z2−10z+10\]
\[=7z3−9z2+4z+10\]