Yuri thinks that 3/4 is a root of the following function. q(x) = 6x3 + 19x2 – 15x – 28 explain to yuri why 3/4 cannot be a root.

If  is a root of the equation, q(x) = 6x3 + 19x2 – 15x – 28 then by the factor formula q() = 0; if that is not the case then cannot be a factor of the function.

Now, q() = 6()³ + 19()² – 15() – 28
                                               = 

Therefore Yuri, since q() ≠ 0 then it implies that is not a root of q(x).

Additionally, a root should be expressed in terms of x, thus the possible root ought to be written as x = , instead of just

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