The quotient of the given division of polynomials using synthetic division is [tex]4x^2-27x+167[/tex]
Given:
we need to divide the given polynomials using synthetic division
[tex](4x^3-3x^2+5x+6) divide\; by \;(x+6)[/tex]
Use synthetic division , First write all the coefficients of each term inside the division .
[tex]x+6=0\\x=-6[/tex]
Write it outside the division
-6 4 -3 5 6
0 -24 162 -1002
------------------------------------------------------
4 -27 167 -996
the remainder is -996
Quotient is [tex]4x^2-27x+167[/tex]
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