Question

using factor theorem , factorise x³+7x²+15x+9.
pls proper and complete ans.​

Answer 1

Answer:

Let p(x) = x3 – 7x2 – 15x – 9

For checking that (x – 3) is a factor of p(x), we find : p(3)

p(3) = (3)3 – 7(3)2 + 15(3) – 9

= 27 – 63 + 45 – 9

= 72 – 72

= 0

Hence, (x – 3) is a factor of p(x).

By division of p(x) by x – 3, we get the quotient

= x2 – 4x + 3

∴ x3 – 7x2 + 15x – 9

= (x – 3)(x2 – 4x + 3)

= (x – 3)(x – 3)(x – 1)

= (x – 3)2(x – 1)

Answer 2

Answer:

(x+1) (x+3) (x+3) here is your answer