Pahelp po thanks with solution sana
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Pahelp po thanks with solution sana
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Answer:
1.
x - 2 = 0
x = 2
P(x) = 3x³ - 8x² + 3x + 2
P(2) = 3(2)³ - 8(2)² + 3(2) + 2
= 24 - 32 + 6 + 2
= 0 —> Remainder
• The Remainder is Zero, therefore x - 2 is a factor of P(x) = 3x³ - 8x² + 3x + 2
2.
x + 1 = 0
x = -1
P(x) = 2x⁴ + x³ + 2x + 1
P(-1) = 2(-1)⁴ + (-1)³ + 2(-1) + 1
= 2 - 1 - 2 + 1
= 0 —> Remainder
• The Remainder is Zero, therefore x + 1 is a factor of P(x) = 2x⁴ + x³ + 2x + 1
3.
x + 3 = 0
x = -3
P(x) = x³ + 4x² + x - 6
P(-3) = (-3)³ + 4(-3)² + (-3) - 6
= - 27 + 36 - 3 - 6
= 0 —> Remainder
• The Remainder is Zero, therefore x + 3 is a factor of P(x) = x³ + 4x² + x - 6
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