Question

Find the value of k, if x-1 is a factor of 4x3
+5x2 -3x+k.​

Answer 1

Correct Question :-

Find the value of k, if x - 1 is a factor of 4x³ + 5x² - 3x + k

Answer :-

k = - 6

Solution :-

Let p(x) = 4x³ + 5x² - 3x + k

Given that 4x³ + 5x² - 3x + k is a factor of x - 1

First find the zero of x - 1

To find the zero of x - 1, equate x - 1 to 0

x - 1 = 0

x = 1

By Factor theorem p(1) = 0

p(x) = 4x³ + 5x² - 3x + k

p(1) = 0

⇒ 4(1)³ + 5(1)² - 3(1) + k = 0

⇒ 4(1) + 5(1) - 3 + k = 0

⇒ 4 + 5 - 3 + k = 0

⇒ 9 - 3 + k = 0

⇒ 6 + k = 0

⇒ k = - 6

Answer 2

Answer:

Step-by-step explanation: