Question

show that (x-3) is a factor of x3 -7x2 +15x-9​

Answer 1

If (x-3) is a factor of x3 - 7x2 + 15x -9, then, by factor theorem;

f(3) should be equal to 0

= (3)^3 - 7(x)^2 + 15(x) - 9

= 27 - 63 + 45 - 9

= 72 - 72

= 0

Hence, it is proved that (x-3) is a factor of f(x).

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