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