Question

Factorise p(x) = x4 + x3 – 7x2 –x + 6 by factor theorem​

Answer 1

Answer:

Answer:

x^4+ x^3- 7x^2 - x + 6

Let x= 1

so, 1^4 + 1^3 - 7(1)^2 - x + 6

= 1 - 1 - 7 + 7

=0

If u divide x^4+ x^3- 7x^2 - x + 6 by x= -1

= x^3 -7x-6

then x^3 -7x-6

let x = -1

-1^3 - 7(-1)-6

= -1+ 7- 6

=0

Now divide  x^3 -7x-6 by x= 1

= x^2- x- 6

x^2- x- 6

=x^2 -3x +2x- 6

=x (x-3) + 2(x-3)

=(x+2) (x-3)

Answer is (x+1)(x-1)(x+2)(x-3)

Hope it is helpful

Step-by-step explanation: