Question

If f(x) be a polynomial such that f (-3)=0, then calculate one factor of f(x).

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Answer 1

Answer:

If f(x) is a polynomial such that f (-1/3) =0

So, f(x) = polynomial with variable x

If f(-1/3) = 0 (it's the value of the polynomial at that point)

So, one factor of f(x) will be (x + 1/3)

Because, if the zero of the polynomial is a negative number, the factor will be a positive number.

Step-by-step explanation:

HOPE IT HELPS.........................................

Answer 2

Recall that if f is a polynomial function, the values of x for which \displaystyle f\left(x\right)=0f(x)=0 are called zeros of f. If the equation of the polynomial function can be factored, we can set each factor equal to zero and solve for the zeros.

We can use the method of factoring the polynomial function and setting each factor equal to zero to find x-intercepts because at the x-intercepts we find the input values when the output value is zero. For general polynomials, this can be a challenging prospect. While quadratics can be solved using the relatively simple quadratic formula, the corresponding formulas for cubic and fourth-degree polynomials are not simple enough to remember, and formulas do not exist for general higher-degree polynomials. Consequently, we will limit ourselves to three cases in this section: