Is x-3 a factor of the polynomial p(x)=2x4-9x3+15x2-22x+12 and for waht reason

(x - 3) is a factor of polynomial function p(x).

Step-by-step explanation:

If (x - 3) is a factor of the polynomial function

p(x) =

Then x = 3 will be one of the zeros of this polynomial function and by plug-in the value of x, function p(x) will be zero.

p(3) =

      = 2×81 - 9×27 + 15×9 - 66 + 12

      = 162 - 243 + 135 - 66 + 12

      = 0

Therefore, (x - 3) is a factor of polynomial function p(x).

step-by-step explanation:

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