Question

if x-1 is a factor of polynomial ax3-4ax+4a-1,find the value​

Answer 1

Answer:

a=1

Step-by-step explanation:

ax³-4ax+4a-1

if x-1 is a factor of above polynomial

x-1=0

x=1 put it in equation

a(1)³-4a(1)+4a-1

a-4a+4a-1

a-1=0

a=1

I think it is helpful for you

Answer 2

Correct Question:

• If x - 1 is a factor of the polynomial ax³ - 4ax + 4a - 1, find the value of a.

Solution:

Given,

→ p(x) = ax³ - 4ax + 4a - 1

→ x - 1 is a factor of p(x)

So,

→ x - 1 = 0

→ x = 1

As x - 1 is a factor of p(x),

→ p(1) = 0

→ a × (1)³ - 4 × a × 1 + 4a - 1 = 0

→ a - 4a + 4a - 1 = 0

→ a - 1 = 0

→ a = 1

∆ So, the value of a is 1.

Answer:

• a = 1