Question

factories the following
$x {}^{4} + 4x {}^{3} - x {}^{2} - 16x - 12$

THE ANSWER IS = (x + 1) (x - 2) (x + 2) (x +3)

AND PLEASE GIVE FULL ANSWER AND FAST​

Answer 1

Answer:

Correct option is

C

−2

Let p(x)=8x

4

+4x

3

−16x

2

+10x+m and g(x)=2x−1

Now, g(x)=2x−1

=>2x−1=0

=>x=

2

1

If g(x) is a factor of p(x), then p(

2

1

) must be 0

Thus, p(

2

1

)=0

=>8(

2

1

)

4

+4(

2

1

)

3

−16(

2

1

)

2

+10(

2

1

)+m=0

=>

16

8

+

8

4

−

4

16

+5+m=0

=>

2

1

+

2

1

−4+5+m=0

=>1+1+m=0

=>m=−2