Question

Factor f(x) into linear factors given that is a zero of f(x)

A) LinearFactorization()
B) FactorizeLinear()
C) FactorizeGivenZero()
D) ZeroRootFactorization()

Answer 1

The correct option to factor f(x) into linear factors given that is a zero of f(x) is A) LinearFactorization(). To factor a polynomial function f(x) into linear factors, we use the zero of the function and divide the polynomial by (x-) to find the other factors.

Step-by-step explanation:

The correct option to factor f(x) into linear factors given that is a zero of f(x) is A) LinearFactorization().

To factor a polynomial function f(x) into linear factors, we use the zero of the function. If is a zero of f(x), then (x-) is a factor of f(x). By dividing the polynomial by (x-), we can find the other factors.

For example, if 2 is a zero of f(x), then (x-2) is a factor. We divide the polynomial by (x-2) to find the quotient, and then continue dividing the quotient by other linear factors until we obtain a completely factored form.