Question

If x-2 is a factor of the polynomial x3 - 2 ax2 + ax - 1 , find a

Answer 1

as x-2 is a factor so x=2

by substituting the value of x in the given polynomial

(2*2*2)-(2a2*2)+(2a)-1=0

8-6a-1=0

7-6a=0

7=6a

7/6=a

Answer 2

Answer:

a = 7/6

Step-by-step explanation:

If (x - 2) is a factor

⇒ Sub x = 2 into the polynomial will return us 0

Sub x = 2 into x³ - 2ax² + ax - 1

(2)³ - 2a(2)² + 2a - 1 = 0

8 - 8a + 2a - 1 = 0

7 - 6a = 0

6a = 7

a = 7/6

Answer: a = 7/6