What is the first term of the quotient of the following division problem #(x^3-1)div(x+2)#?
2 Answers
Aug 20, 2017
Explanation:
Expression
By synthetic division of polynomials:
Expression
Hence, the first term of the quotient is
Aug 21, 2017
Explanation:
#"using the divisor as a factor in the numerator"#
#"consider the numerator"#
#color(red)(x^2)(x+2)color(magenta)(-2x^2)-1#
#=color(red)(x^2)(x+2)color(red)(-2x)(x+2)color(magenta)(+4x)-1#
#=color(red)(x^2)(x+2)color(red)(-2x)(x+2)color(red)(+4)(x+2)color(magenta)(-8)-1#
#=color(red)(x^2)(x+2)color(red)(-2x)(x+2)color(red)(+4)(x+2)-9#
#"quotient "=color(red)(x^2-2x+4)," remainder "=-9#
#"first term of the quotient "=x^2#