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Use synthetic division to find P(–3)
for P(x)=x^4–2x^3–4x+4
To find P(-3) using synthetic division, we need to write the polynomial P(x) in descending order of powers of x.
P(x) = x^4 - 2x^3 - 4x + 4
Now we will set up the synthetic division:
-3 | 1 -2 -4 0 4
| -3 15 -33 99
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1 -5 11 -33 103
Therefore, when we substitute x = -3 into the polynomial P(x) = x^4 - 2x^3 - 4x + 4, the value of P(-3) is 103.