Question

c)
If x + a is a factor of x4-a2x2 + 3x - 6a, then a =​

Answer 1

Answer:

0

Step-by-step explanation:

x+a is factor of x 4 −a 2 x 2 +3x−6a

Let p(x)=x 4 −a 2 x 2 +3x−6a

Let p(x)=x 4 −a 2 x 2 +3x−6awe know that if x−α is a factor of p(x) then p(α)=0

So p(−a)=0

• (−a) 4−a 2 (−a) 2 +3(−a)−a=0
• a 4 −a 4 −3a−a=0
• −4a=0
• a=0