Use synthetic division to find P(- 2) for P(x) = x ^ 4 - 5x ^ 3 + 3x + 2
To find P(-2) using synthetic division, we will divide the polynomial P(x) = x^4 - 5x^3 + 3x + 2 by (-2).
Coefficient of x⁴: 1
Coefficient of x³: -5
Coefficient of x²: 0
Coefficient of x: 3
Constant term: 2
Using synthetic division:
-2 │ 1 -5 0 3 2
────────────────
-2 14 -28 19
The remainder is 19, so P(-2) = 19.
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Apologies for the mistake. Let's try again.
Using synthetic division:
-2 │ 1 -5 0 3 2
────────────────
-2 14 -28 50
The remainder is 50, so P(-2) = 50.