Perhaps the most important type of polynomial multiplication is that of two binomials. Make sure you are fluent with this skill. Write each of the following products as an equivalent polynomial written in standard form. The first problem is done as an example using repeated distribution.
(a) (x+5)(x-3)
(x+5)(x) + (x+5)(-3)
(x)(x) + (5)(x) + (x)(-3) + (5)(-3)
x²+5x-3x-15
x²+2x-15
(b) (x-10)(x-4)
(c) (x+3)(x+12)
(d) (2x +3)(5x+8)