When the remainder of the polynomial is 0, it is a factor and when it is not zero, then it is not a factor.
A polynomial is an algebraic equation with at least the power of its being 2.
When the power of the variable is 2, it is called a quadratic equation.
Analysis:
If [tex]x^{3}[/tex] + 4[tex]x^{2}[/tex] -12x + 24 is divided by x -3, quotient is [tex]x^{2}[/tex]
remainder 7[tex]x^{2}[/tex]-12x+24
7[tex]x^{2}[/tex]-12x+24 divided by x-3, quotient is 7x, remainder 10x + 24
10x+24 divided by x-3, quotient is 10, remainder is 54
In conclusion, since it has a non zero remainder, then x - 3 is not a factor of the polynomial.
Learn more about polynomial: brainly.com/question/2833285
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