(x + 6) is a factor of f(x) = x3 + 3x2 + 4x + P then value of P is1. 4

1.	(x + 6) is a factor of f(x) = x3 + 3x2 + 4x + P then value of P is1. 422. 1323. 1924. 82
Answer» Correct Answer - Option 2 : 132 Given: (x + 6) is a factor of f(x) = x3 + 3x2 + 4x + P Concept: If x + a is a factor of any function then it will make the value of the function zero when the value of x from x + a = 0 will apply to it. Calculation: Put x = - 6 in the f(x) = 0 ⇒ (- 6)³ + 3(- 6)² + 4(- 6) + P = 0 ⇒ - 216 + 108 - 24 + P = 0 ⇒ P = 240 - 108 ∴ P = 132

(x + 6) is a factor of f(x) = x3 + 3x2 + 4x + P then value of P is1. 422. 1323. 1924. 82

Answer» Correct Answer - Option 2 : 132

Given:

(x + 6) is a factor of f(x) = x3 + 3x2 + 4x + P

Concept:

If x + a is a factor of any function then it will make the value of the function zero when the value of x from x + a = 0 will apply to it.

Calculation:

Put x = - 6 in the f(x) = 0

⇒ (- 6)³ + 3(- 6)² + 4(- 6) + P = 0

⇒ - 216 + 108 - 24 + P = 0

⇒ P = 240 - 108

∴ P = 132

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(x + 6) is a factor of f(x) = x3 + 3x2 + 4x + P then value of P is1. 422. 1323. 1924. 82

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