Question

If (x-1) is a factor of x³+7x²+ax-3, find the value of a.​

Answer 1

Answer:

Step-by-step explanation:

Let p ( x ) = x³ + 7x² + ax - 3 = 0

If ( x - 1 ) is a factor of p ( x ) ,then x - 1 = 0 ⇒ x = 1.

On substituting,

p ( 1 ) = ( 1 )³ + 7 ( 1 )² + a ( 1 ) - 3 = 0

⇒ 1 + 7 ( 1 ) + a - 3 = 0

⇒ 1 + 7 + a - 3 = 0

⇒8- 3 + a = 0

⇒ 5 + a = 0

⇒ a = - 5 is the answer.

Answer 2

question:

If (x-1) is a factor of x³+7x²+ax-3, find the value of a.