Determine if x + 2 is a factor of pl = x
+ 3x3 + 4x2 - 8 and explain why.

The factor theorem states that:

Given a polynomial P(x), (x-a) is a factor of P(x) if and only if P(a) = 0

So from the question, we are given that  

P

(

x

)

=

x

4

+

3

x

3

+

4

x

2

−

8

and the factor we're testing is  

(

x

+

2

)

which can be written as  

(

x

−

(

−

2

)

)

. From this we can apply the factor theorem:

P

(

−

2

)

=

(

−

2

)

4

+

3

(

−

2

)

3

+

4

(

−

2

)

2

−

8

=

0

Hence (x-2) is a factor of P(x) and we're done

Step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

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step-by-step explanation: