Question

f(x)=x^(3)+3x^(2)-49x+45 and x+9 is a factor of f(x), then find all of the eros of f(x) algebraically.

Answer 1

To find the roots of the polynomial, divide it by the given factor (x + 9) and factorize the quotient.

Step-by-step explanation:

To find the roots of the polynomial, we need to factorize it using the given factor as a starting point. Since the polynomial is divided by (x + 9), we can use synthetic division or long division to divide f(x) by (x + 9) and get the quotient. If the quotient is equal to zero, then (x + 9) is a factor of f(x). The remaining factors can be found by factoring the quotient further. Finally, the roots of f(x) are the values of x that make each factor equal to zero.

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