Multiplying Polynomials

Multiplying Polynomials

How to solve multiplying polynomial problems: examples and their solutions. (binomials, trinomials)

Example 1

Simplify the given expression. (x - 3)(x^2 - x + 7)

Solve it like using the FOIL method.

Write the like terms vertically:
-x2, -3x2
+7x, +3x

Then add and subtract the like terms vertically.

Example 2

Simplify the given expression. (x^2 + 7x - 1)(3x^2 - x + 8)

Write the like terms vertically:
-x3, +21x3
+8x2, -7x2, -3x2
+56x, +x

Then add and subtract the like terms vertically.