MATH SOLVE

2 months ago

Q:
# Solve using SYNTHETIC DIVISION (show each step). (a3 +5a2 +14a+16)÷(a+2)PLEASEEEEEE HELP

Accepted Solution

A:

Answer:The quotient is 1x^2 + 3x + 8.Step-by-step explanation:First: Please use " ^ " to denote exponentiation: (a^3 +5a^2 +14a+16).We are dividing this polynomial by (a + 2). The equivalent divisor in synthetic division is -2. We set up this synth. div. as follows:-2 ) 1 5 14 16 -2 -6 -16 ------------------------- 1 3 8 0Because the remainder is zero (0), we can safely assume that x = -2 is a root of (a^3 +5a^2 +14a+16) and that x + 2 is a factor of (a^3 +5a^2 +14a+16).The quotient is 1x^2 + 3x + 8.