Which are solutions of the equation 4x2 – 7x = 3x + 24? Check all that apply.

x = –4
x = –3
x = StartFraction negative 3 Over 2 EndFraction
x = StartFraction 2 Over 3 EndFraction
x = 2
x = 4

{-3/2, 4}

Step-by-step explanation:

Use synthetic division here.  If the remainder is 0, then the divisor is a root or solution.

Here we have x = -4.  Perform the synthetic division as follows:

-4       4     -10    -24

                 -16     108

          4      -26     84              The remainder is 84, which tells us -4 is NOT

                                                a root/solution.

Try -3/2 as divisor this time:

-3/2    4     -10    -24

                   -6    24

          4      -16       0            Remainder is 0, so -3/2 is a solution

Show in the same manner that 4 is a solution also.  Or determine whether x - 4 satisfies 4x - 16 = 0 (it does).

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a rotation about point l

step-by-step explanation:

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