If x-2 is a factor of the polynomial x3 - 2 ax2 + ax - 1 , find a
Answers
Answered by
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
Answered by
4
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
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