How do you evaluate #(x + 8) ( x + 1) ( x + 10)#?

1 Answer
Jan 11, 2018

#x^3+19x^2+98x+80#

Explanation:

#"given the product of factors "#

#(x+a)(x+b(x+c)" then the expansion is"#

#x^3+(a+b+c)x^2+(ab+bc+ac)x+abc#

#rArr(x+8)(x+1)(x+10)larra=8,b=1,c=10#

#=x^3+19x^2+(8+10+80)x+8.1.10#

#=x^3+19x^2+98x+80#