Question

which of the following polynomials has (x+1) as a factor 1) x³+4x²+5x+2​

Answer 1

Answer:

Answer

Correct option is

A

(i)

Let g(x)=x−2

Now,g(x)=x−2

=>x−2=0

=>x=2

(i)

Let p(x)=3x

2

+6x−24

Now, g(x) is a factor p(x) if p(2)=0

Thus, p(2)

=3(2)

2

+6(2)−24

=12+12−24

=0

Thus, g(x) is a factor of p(x)

(ii)

Let p(x)=4x

2

+x−2

Now, g(x) is a factor p(x) if p(2)=0

Thus, p(2)

=4(2)

2

+2−2

=16



=0

Thus, g(x) is not a factor of p(x)

So, (i) is the factor of x−2