Remainder theorem can be used to check if a given number is root or not. The factors of the polynomial function given are: (x-2), (x+4), (x-6).
<h3>What is the remainder theorem for a polynomial?</h3>
When a polynomial f(x) is divided by (x-a), the remainder is f(a)
The given polynomial function is
One root is x = 6, thus, (x-6) is one of the factor (since, by remainder theorem the remainder of f(x)/(x-6) is f(6) which is 0 since x = 6 is a root. And for those divisions, who leave no remainder, are division by factors.)
Getting other two factors:
Thus, the factors of the polynomial function given are: (x-2), (x+4), (x-6).
Learn more about polynomial reminder theorem here:
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