Question

x³-5x²-x+5 factorise​

Answer 1

Answer:

Factor by grouping

Factor by grouping

Factor by grouping

(

−

5

)

(

2

−

1

)

2

Find one factor

Solution

(

−

5

)

(

−

1

)

(

+

1

)

Answer 2

Answer:

x3-5x-x+5=(x-5)(x+1)(x-1

Step-by-step explanation:

x 3−5x 2−x+5

By taking common terms

x 3 −5x 2−x+5=x 2 (x−5)−1(x−5)

So we get

x 3 −5x 2−x+5=(x−5)(x 2−1)

Based on the equation a

2 −b 2 =(a+b)(a−b)

We get,

x 3 −5x 2 −x+5=(x−5)(x+1)(x−1)