Question

Factors of x³- 2x² - x + 2 are

Answer 1

Answer:

x^{3} -2x^{2} -x +2x

3

−2x

2

−x+2

= x^{2} (x-2) -1(x-2)=x

2

(x−2)−1(x−2)

= (x-2)( x^{2} -1)=(x−2)(x

2

−1)

= (x-2)(x+1)(x-1)=(x−2)(x+1)(x−1)

Answer 2

Step-by-step explanation:

Dividend

=

Divisor

×

Quotient

+

Remainder

2

y

3

+

y

2

−

2

y

−

1

=

(

y

−

1

)

(

2

y

2

+

3

y

+

1

)

+

0

=

(

y

−

1

)

(

2

y

2

+

2

y

+

y

+

1

)

=

(

y

−

1

)

[

2

y

(

y

+

1

)

+

1

(

y

+

1

)

]