Question

Find the value of k, if x - 1 is a factor of 4x3 + 3x2 - 4x + k.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer :

• Value of k is - 3

Given :

• x - 1 is a factor of 4x³ + 3x² - 4x + k

To find :

• Value of k

Solution :

》4x³ + 3x² - 4x + k

• Let p(x) = 4x³ + 3x² - 4x + k

Given x - 1 is a factor of 4x³ + 3x² - 4x + k then ,

》x - 1 = 0

》x = 1

⇢ p(1) = 4x³ + 3x² - 4x + k

⇢ 4(1)³ + 3(1)² - 4(1) + k

⇢ 4 + 3 - 4 + k

⇢ k + 3 = 0

⇢ k = - 3

Hence , Value of k is - 3

To Check :

》p(1) = 3 + (-3)

》3 - 3

》0