Question

X-3 is a factor of x³+ax²–2x+3

Answer 1

Answer:X-3 is a factor of x³+ax²–2x+3

Step-by-step explanation:X-3 is a factor of x³+ax²–2x+3

p(x)=x

3

−ax

2

+2x+a−1

⇒ p(a)=(a)

3

−a(a)

2

+2(a)+a−1

⇒ 0=a

+2a+a−1=0

⇒ 3a−1=0

⇒ 3a=1 a=

3

1

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