Question

How to factorise x3+x2-17x+15

Answer 1

5x-17x+15
12x+15
3(4x+5)

Answer 2

Answer:

$(x-1)(x-3)(x+5)$

Step-by-step explanation:

Given :$x^3+x^2-17x+15$

To find : factorize

Solution:

$x^3+x^2-17x+15$

$(x-1)(x^2+2x-15)$

$(x-1)(x^2+5x-3x-15)$

$(x-1)(x(x+5)-3(x+5)$

$(x-1)((x-3)(x+5))$

$(x-1)(x-3)(x+5)$

So, The factored form is $(x-1)(x-3)(x+5)$