Is x + 3 a factor of P(x) = x³ - 5x² + 3x + 9 ? Explain.
1 answer:
Answer:
no
Step-by-step explanation:
using the Factor theorem.
If (x + h) is a factor of f(x) then f(- h) = 0
for factor (x + 3) then evaluate P(- 3)
P(- 3) = (- 3)³ - 5(- 3)² + 3(- 3) + 9 = - 27 - 45 - 9 + 9 = - 72
since f(- 3) ≠ 0 then (x + 3) is not a factor of P(x)
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10,000,000+2,000,000+400,000+30,000
Decimal: 0.3
Fraction: 3/10