Question

x cube -8x square -13x+140​

Answer 1

Step-by-step explanation:

let p(x)=+-1,+-2,+-3,+-4........

p(-4)=(-4)^3 - 8(-4)^2 - 13(-4) + 140

=-64-128+52+140

= -192+192

=0

now we can say that *x+4) is a factor of p (x)

now x^3 - 8x^2 - 13x + 140 is divided by (x+4) we get,

= x^2 - 12x + 35

Now use splitting method,

=x^2 - 12x + 35

= x^2 - 7x -5x + 35

= x(x-7) - 5 (x-7)

= (x-5) (x-7)

hence, (x+4)(x-5)(x-7) is answer.