Question

Using factor theorem factorise each of the following

x^4 - 7x^3 + 9x² + 7 x – 10




Please fast

Answer 1

(x + 1)(x - 1) (x- 2)(x - 5)

Explanation:

Solving in steps:

• x^4 - 7x^3 + 9x² + 7 x – 10=
• (x^4 - 1 )- (7x^3 - 7x) + (9x^2 - 9) =
• (x^2 + 1)(x^2 - 1) - 7x(x^2 - 1) + 9(x^2 - 1) =
• (x^2-1)(x^2 + 1 - 7x + 9) =
• (x + 1)(x - 1)(x^2 - 7x + 10) =
• (x + 1)(x - 1)((x^2 - 2x) - (5x - 10)) =
• (x + 1)(x - 1) (x- 2)(x - 5)