If #f( x ) = ( x - 3)# and # g ( x ) = ( x ^ { 2} + 5x - 6)#, what is the product of #f(x) and g(x)#?
1 Answer
Nov 28, 2017
Explanation:
#f(x)xxg(x)=(x-3)(x^2+5x-6)#
#"each term in the second factor is multiplied by each "#
#"term in the first factor"#
#rArr(color(red)(x-3))(x^2+5x-6)#
#=color(red)(x)(x^2+5x-6)color(red)(-3)(x^2+5x-6)#
#"distributing gives"#
#=x^3+5x^2-6x-3x^2-15x+18#
#"collect like terms"#
#=x^3+2x^2-21x+18#
