Question

(2x-5)(x^2+3x-7)

Answer 1

Multiplication of polynomial in this case can use distributive property:
\((2x-5)(x^2+3x-7)=2x(x^2+3x-7)-5(x^2+3x-7)\)
\(~~~=(2x^3+6x^2-14x)-(5x^2+15x-35)\) distributive
\(~~~=2x^3+6x^2-14x-5x^2-15x+35\) take note of sign
\(~~~=2x^3+6x^2-5x^2-15x-14x+35\) combine like terms
\(~~~=2x^3+(6-5)x^2-(15+14)x+35\) perform operation as well as take note for possible sign changes...
and so...
\((2x-5)(x^2+3x-7)=2x^3+x^2-19x+35\)