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

a) $$(x – 4)(2x^3 – 2) = 2x^4 – 8x^3 – 2x + 8$$

 $$2x^3$$ $$-2$$ $$x$$ $$2x^4$$ $$-2x$$ $$-4$$ $$-8x^3$$ $$8$$

b.  $$(x + 2)(2x^3 + 2x – 3) = 2x^4 +4x^3+ 2x^2+ x – 6$$

 $$2x^3$$ $$2x$$ $$- 3$$ $$x$$ $$2x^4$$ $$2x^2$$ $$-3x$$ $$2$$ $$4x^3$$ $$4x$$ $$- 6$$

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