Find number a and k so that x-2 is afactor
OF F(x)=x4-2ax tax-
X+k and F(-1)=3

Question:

Find numbers a and k so that x-2 is a factor of

and

and

Step-by-step explanation:

Given

Required

Find a and k

For

Substitute -1 for x

Substitute 3 for f(-1)

Collect Like Terms

Also:

If is a factor, then

Substitute 2 for x and 0 for f(x)

Collect Like Terms

Substitute 12a - 14 for k in

Collect Like Terms

Solve for a

Substitute 1 for a in

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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answer