Question

if x+a is the factor of x^4-a^2x^2+3x-6a.find the value of A
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Answer 1

Step-by-step explanation:

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If x+a is a factor of x

4

−a

2

x

2

+3x−6a, then a=

Medium

Solution

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Correct option is A)

x+a is factor of x

4

−a

2

x

2

+3x−6a

Let p(x)=x

4

−a

2

x

2

+3x−6a

we 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