# POLQ 1 | Lesson 1 | Practice (Multiplying Polynomials using Generic Rectangles) Solutions

1. $$(x-4)(2x^3-2) = 2x^4-8x^3-2x+8$$
 $$2x^3$$ $$-2$$ $$x$$ $$2x^4$$ $$-2x$$ $$-4$$ $$-8x^3$$ $$8$$
1. $$(x+2)(2x^3+2x-3) = 2x^4+4x^3+2x^2+x-6$$
 $$2x^3$$ $$2x$$ $$- 3$$ $$x$$ $$2x^4$$ $$2x^2$$ $$-3x$$ $$2$$ $$4x^3$$ $$4x$$ $$- 6$$

1. Each term in the first column is multiplied by each term in the first row.  After finding the products, like terms are added together.