150k views
2 votes
Show step by step how to use the horizontal method to multiply the two polynomials (3a2 + 5a - 2)(5a2 – 3a + 4).

User Guyumu
by
5.1k points

1 Answer

4 votes

Given:


(3a^2+5a-2)(5a^2-3a+4)

Horizonatal method:


\begin{gathered} (3a^2+5a-2)(5a^2-3a+4) \\ =3a^2(5a^2-3a+4)+5a(5a^2-3a+4)-2(5a^2-3a+4) \\ =15a^4-9a^3+12a^2+25a^3-15a^2+20a-10a^2+6a-8 \\ =15a^4+16a^3-13a^2+26a-8 \end{gathered}

User TranquilMarmot
by
4.7k points